diff --git a/mlir/include/mlir/Conversion/IndexToLLVM/IndexToLLVM.h b/mlir/include/mlir/Conversion/IndexToLLVM/IndexToLLVM.h
--- a/mlir/include/mlir/Conversion/IndexToLLVM/IndexToLLVM.h
+++ b/mlir/include/mlir/Conversion/IndexToLLVM/IndexToLLVM.h
@@ -12,6 +12,7 @@
 #include <memory>
 
 namespace mlir {
+class DialectRegistry;
 class LLVMTypeConverter;
 class RewritePatternSet;
 class Pass;
@@ -22,6 +23,9 @@
 namespace index {
 void populateIndexToLLVMConversionPatterns(LLVMTypeConverter &converter,
                                            RewritePatternSet &patterns);
+
+void registerConvertIndexToLLVMInterface(DialectRegistry &registry);
+
 } // namespace index
 } // namespace mlir
 
diff --git a/mlir/include/mlir/Conversion/MathToLLVM/MathToLLVM.h b/mlir/include/mlir/Conversion/MathToLLVM/MathToLLVM.h
--- a/mlir/include/mlir/Conversion/MathToLLVM/MathToLLVM.h
+++ b/mlir/include/mlir/Conversion/MathToLLVM/MathToLLVM.h
@@ -13,6 +13,7 @@
 
 namespace mlir {
 
+class DialectRegistry;
 class LLVMTypeConverter;
 class RewritePatternSet;
 class Pass;
@@ -23,6 +24,9 @@
 void populateMathToLLVMConversionPatterns(LLVMTypeConverter &converter,
                                           RewritePatternSet &patterns,
                                           bool approximateLog1p = true);
+
+void registerConvertMathToLLVMInterface(DialectRegistry &registry);
+
 } // namespace mlir
 
 #endif // MLIR_CONVERSION_MATHTOLLVM_MATHTOLLVM_H
diff --git a/mlir/include/mlir/Conversion/UBToLLVM/UBToLLVM.h b/mlir/include/mlir/Conversion/UBToLLVM/UBToLLVM.h
--- a/mlir/include/mlir/Conversion/UBToLLVM/UBToLLVM.h
+++ b/mlir/include/mlir/Conversion/UBToLLVM/UBToLLVM.h
@@ -13,6 +13,7 @@
 
 namespace mlir {
 
+class DialectRegistry;
 class LLVMTypeConverter;
 class RewritePatternSet;
 class Pass;
@@ -23,6 +24,8 @@
 namespace ub {
 void populateUBToLLVMConversionPatterns(LLVMTypeConverter &converter,
                                         RewritePatternSet &patterns);
+
+void registerConvertUBToLLVMInterface(DialectRegistry &registry);
 } // namespace ub
 } // namespace mlir
 
diff --git a/mlir/include/mlir/InitAllExtensions.h b/mlir/include/mlir/InitAllExtensions.h
--- a/mlir/include/mlir/InitAllExtensions.h
+++ b/mlir/include/mlir/InitAllExtensions.h
@@ -17,8 +17,11 @@
 #include "mlir/Conversion/ArithToLLVM/ArithToLLVM.h"
 #include "mlir/Conversion/ComplexToLLVM/ComplexToLLVM.h"
 #include "mlir/Conversion/ControlFlowToLLVM/ControlFlowToLLVM.h"
+#include "mlir/Conversion/IndexToLLVM/IndexToLLVM.h"
+#include "mlir/Conversion/MathToLLVM/MathToLLVM.h"
 #include "mlir/Conversion/MemRefToLLVM/MemRefToLLVM.h"
 #include "mlir/Conversion/NVVMToLLVM/NVVMToLLVM.h"
+#include "mlir/Conversion/UBToLLVM/UBToLLVM.h"
 #include "mlir/Dialect/Func/Extensions/AllExtensions.h"
 #include "mlir/Target/LLVM/NVVM/Target.h"
 
@@ -36,8 +39,11 @@
   registerConvertComplexToLLVMInterface(registry);
   cf::registerConvertControlFlowToLLVMInterface(registry);
   func::registerAllExtensions(registry);
+  index::registerConvertIndexToLLVMInterface(registry);
+  registerConvertMathToLLVMInterface(registry);
   registerConvertMemRefToLLVMInterface(registry);
   registerConvertNVVMToLLVMInterface(registry);
+  ub::registerConvertUBToLLVMInterface(registry);
   registerNVVMTarget(registry);
 }
 
diff --git a/mlir/lib/Conversion/IndexToLLVM/IndexToLLVM.cpp b/mlir/lib/Conversion/IndexToLLVM/IndexToLLVM.cpp
--- a/mlir/lib/Conversion/IndexToLLVM/IndexToLLVM.cpp
+++ b/mlir/lib/Conversion/IndexToLLVM/IndexToLLVM.cpp
@@ -7,6 +7,8 @@
 //===----------------------------------------------------------------------===//
 
 #include "mlir/Conversion/IndexToLLVM/IndexToLLVM.h"
+
+#include "mlir/Conversion/ConvertToLLVM/ToLLVMInterface.h"
 #include "mlir/Conversion/LLVMCommon/Pattern.h"
 #include "mlir/Dialect/Index/IR/IndexAttrs.h"
 #include "mlir/Dialect/Index/IR/IndexDialect.h"
@@ -365,3 +367,32 @@
           applyPartialConversion(getOperation(), target, std::move(patterns))))
     return signalPassFailure();
 }
+
+//===----------------------------------------------------------------------===//
+// ConvertToLLVMPatternInterface implementation
+//===----------------------------------------------------------------------===//
+
+namespace {
+/// Implement the interface to convert Index to LLVM.
+struct IndexToLLVMDialectInterface : public ConvertToLLVMPatternInterface {
+  using ConvertToLLVMPatternInterface::ConvertToLLVMPatternInterface;
+  void loadDependentDialects(MLIRContext *context) const final {
+    context->loadDialect<LLVM::LLVMDialect>();
+  }
+
+  /// Hook for derived dialect interface to provide conversion patterns
+  /// and mark dialect legal for the conversion target.
+  void populateConvertToLLVMConversionPatterns(
+      ConversionTarget &target, LLVMTypeConverter &typeConverter,
+      RewritePatternSet &patterns) const final {
+    populateIndexToLLVMConversionPatterns(typeConverter, patterns);
+  }
+};
+} // namespace
+
+void mlir::index::registerConvertIndexToLLVMInterface(
+    DialectRegistry &registry) {
+  registry.addExtension(+[](MLIRContext *ctx, index::IndexDialect *dialect) {
+    dialect->addInterfaces<IndexToLLVMDialectInterface>();
+  });
+}
diff --git a/mlir/lib/Conversion/MathToLLVM/MathToLLVM.cpp b/mlir/lib/Conversion/MathToLLVM/MathToLLVM.cpp
--- a/mlir/lib/Conversion/MathToLLVM/MathToLLVM.cpp
+++ b/mlir/lib/Conversion/MathToLLVM/MathToLLVM.cpp
@@ -9,6 +9,7 @@
 #include "mlir/Conversion/MathToLLVM/MathToLLVM.h"
 
 #include "mlir/Conversion/ArithCommon/AttrToLLVMConverter.h"
+#include "mlir/Conversion/ConvertToLLVM/ToLLVMInterface.h"
 #include "mlir/Conversion/LLVMCommon/ConversionTarget.h"
 #include "mlir/Conversion/LLVMCommon/Pattern.h"
 #include "mlir/Conversion/LLVMCommon/VectorPattern.h"
@@ -331,3 +332,31 @@
   >(converter);
   // clang-format on
 }
+
+//===----------------------------------------------------------------------===//
+// ConvertToLLVMPatternInterface implementation
+//===----------------------------------------------------------------------===//
+
+namespace {
+/// Implement the interface to convert Math to LLVM.
+struct MathToLLVMDialectInterface : public ConvertToLLVMPatternInterface {
+  using ConvertToLLVMPatternInterface::ConvertToLLVMPatternInterface;
+  void loadDependentDialects(MLIRContext *context) const final {
+    context->loadDialect<LLVM::LLVMDialect>();
+  }
+
+  /// Hook for derived dialect interface to provide conversion patterns
+  /// and mark dialect legal for the conversion target.
+  void populateConvertToLLVMConversionPatterns(
+      ConversionTarget &target, LLVMTypeConverter &typeConverter,
+      RewritePatternSet &patterns) const final {
+    populateMathToLLVMConversionPatterns(typeConverter, patterns);
+  }
+};
+} // namespace
+
+void mlir::registerConvertMathToLLVMInterface(DialectRegistry &registry) {
+  registry.addExtension(+[](MLIRContext *ctx, math::MathDialect *dialect) {
+    dialect->addInterfaces<MathToLLVMDialectInterface>();
+  });
+}
diff --git a/mlir/lib/Conversion/UBToLLVM/UBToLLVM.cpp b/mlir/lib/Conversion/UBToLLVM/UBToLLVM.cpp
--- a/mlir/lib/Conversion/UBToLLVM/UBToLLVM.cpp
+++ b/mlir/lib/Conversion/UBToLLVM/UBToLLVM.cpp
@@ -8,6 +8,7 @@
 
 #include "mlir/Conversion/UBToLLVM/UBToLLVM.h"
 
+#include "mlir/Conversion/ConvertToLLVM/ToLLVMInterface.h"
 #include "mlir/Conversion/LLVMCommon/ConversionTarget.h"
 #include "mlir/Conversion/LLVMCommon/Pattern.h"
 #include "mlir/Dialect/LLVMIR/LLVMDialect.h"
@@ -91,3 +92,31 @@
                                                   RewritePatternSet &patterns) {
   patterns.add<PoisonOpLowering>(converter);
 }
+
+//===----------------------------------------------------------------------===//
+// ConvertToLLVMPatternInterface implementation
+//===----------------------------------------------------------------------===//
+
+namespace {
+/// Implement the interface to convert UB to LLVM.
+struct UBToLLVMDialectInterface : public ConvertToLLVMPatternInterface {
+  using ConvertToLLVMPatternInterface::ConvertToLLVMPatternInterface;
+  void loadDependentDialects(MLIRContext *context) const final {
+    context->loadDialect<LLVM::LLVMDialect>();
+  }
+
+  /// Hook for derived dialect interface to provide conversion patterns
+  /// and mark dialect legal for the conversion target.
+  void populateConvertToLLVMConversionPatterns(
+      ConversionTarget &target, LLVMTypeConverter &typeConverter,
+      RewritePatternSet &patterns) const final {
+    ub::populateUBToLLVMConversionPatterns(typeConverter, patterns);
+  }
+};
+} // namespace
+
+void mlir::ub::registerConvertUBToLLVMInterface(DialectRegistry &registry) {
+  registry.addExtension(+[](MLIRContext *ctx, ub::UBDialect *dialect) {
+    dialect->addInterfaces<UBToLLVMDialectInterface>();
+  });
+}
diff --git a/mlir/test/Conversion/IndexToLLVM/index-to-llvm.mlir b/mlir/test/Conversion/IndexToLLVM/index-to-llvm.mlir
--- a/mlir/test/Conversion/IndexToLLVM/index-to-llvm.mlir
+++ b/mlir/test/Conversion/IndexToLLVM/index-to-llvm.mlir
@@ -2,6 +2,10 @@
 // RUN: mlir-opt %s -convert-index-to-llvm=index-bitwidth=32 | FileCheck %s --check-prefix=INDEX32
 // RUN: mlir-opt %s -convert-index-to-llvm=index-bitwidth=64 | FileCheck %s --check-prefix=INDEX64
 
+// Same below, but using the `ConvertToLLVMPatternInterface` entry point
+// and the generic `convert-to-llvm` pass.
+// RUN: mlir-opt --convert-to-llvm --split-input-file %s | FileCheck %s
+
 // CHECK-LABEL: @trivial_ops
 func.func @trivial_ops(%a: index, %b: index) {
   // CHECK: llvm.add
diff --git a/mlir/test/Conversion/MathToLLVM/math-to-llvm.mlir b/mlir/test/Conversion/MathToLLVM/math-to-llvm.mlir
--- a/mlir/test/Conversion/MathToLLVM/math-to-llvm.mlir
+++ b/mlir/test/Conversion/MathToLLVM/math-to-llvm.mlir
@@ -1,5 +1,9 @@
 // RUN: mlir-opt %s -split-input-file -pass-pipeline="builtin.module(func.func(convert-math-to-llvm))" | FileCheck %s
 
+// Same below, but using the `ConvertToLLVMPatternInterface` entry point
+// and the generic `convert-to-llvm` pass.
+// RUN: mlir-opt --convert-to-llvm --split-input-file %s | FileCheck %s
+
 // CHECK-LABEL: @ops
 func.func @ops(%arg0: f32, %arg1: f32, %arg2: i32, %arg3: i32, %arg4: f64) {
   // CHECK: = llvm.intr.exp(%{{.*}}) : (f32) -> f32
diff --git a/mlir/test/Conversion/UBToLLVM/ub-to-llvm.mlir b/mlir/test/Conversion/UBToLLVM/ub-to-llvm.mlir
--- a/mlir/test/Conversion/UBToLLVM/ub-to-llvm.mlir
+++ b/mlir/test/Conversion/UBToLLVM/ub-to-llvm.mlir
@@ -1,5 +1,9 @@
 // RUN: mlir-opt -pass-pipeline="builtin.module(func.func(convert-ub-to-llvm))" %s -split-input-file | FileCheck %s
 
+// Same below, but using the `ConvertToLLVMPatternInterface` entry point
+// and the generic `convert-to-llvm` pass.
+// RUN: mlir-opt --convert-to-llvm --split-input-file %s | FileCheck %s
+
 // CHECK-LABEL: @check_poison
 func.func @check_poison() {
 // CHECK: {{.*}} = llvm.mlir.poison : i64