diff --git a/mlir/lib/Conversion/ArithmeticToLLVM/ArithmeticToLLVM.cpp b/mlir/lib/Conversion/ArithmeticToLLVM/ArithmeticToLLVM.cpp
--- a/mlir/lib/Conversion/ArithmeticToLLVM/ArithmeticToLLVM.cpp
+++ b/mlir/lib/Conversion/ArithmeticToLLVM/ArithmeticToLLVM.cpp
@@ -68,6 +68,18 @@
     VectorConvertToLLVMPattern<arith::BitcastOp, LLVM::BitcastOp>;
 using SelectOpLowering =
     VectorConvertToLLVMPattern<arith::SelectOp, LLVM::SelectOp>;
+using MaxFOpLowering =
+    VectorConvertToLLVMPattern<arith::MaxFOp, LLVM::MaxNumOp>;
+using MaxSIOpLowering =
+    VectorConvertToLLVMPattern<arith::MaxSIOp, LLVM::SMaxOp>;
+using MaxUIOpLowering =
+    VectorConvertToLLVMPattern<arith::MaxUIOp, LLVM::UMaxOp>;
+using MinFOpLowering =
+    VectorConvertToLLVMPattern<arith::MinFOp, LLVM::MinNumOp>;
+using MinSIOpLowering =
+    VectorConvertToLLVMPattern<arith::MinSIOp, LLVM::SMinOp>;
+using MinUIOpLowering =
+    VectorConvertToLLVMPattern<arith::MinUIOp, LLVM::UMinOp>;
 
 //===----------------------------------------------------------------------===//
 // Op Lowering Patterns
@@ -321,7 +333,13 @@
     BitcastOpLowering,
     CmpIOpLowering,
     CmpFOpLowering,
-    SelectOpLowering
+    SelectOpLowering,
+    MaxFOpLowering,
+    MaxUIOpLowering,
+    MaxSIOpLowering,
+    MinFOpLowering,
+    MinUIOpLowering,
+    MinSIOpLowering
   >(converter);
   // clang-format on
 }
diff --git a/mlir/test/Conversion/ArithmeticToLLVM/arith-to-llvm.mlir b/mlir/test/Conversion/ArithmeticToLLVM/arith-to-llvm.mlir
--- a/mlir/test/Conversion/ArithmeticToLLVM/arith-to-llvm.mlir
+++ b/mlir/test/Conversion/ArithmeticToLLVM/arith-to-llvm.mlir
@@ -383,3 +383,27 @@
   %0 = arith.select %arg0, %arg1, %arg2 : i32
   return %0 : i32
 }
+
+// -----
+
+// CHECK-LABEL: @minmaxi
+func.func @minmaxi(%arg0 : i32, %arg1 : i32) -> i32 {
+  // CHECK: = "llvm.intr.smin"(%arg0, %arg1) : (i32, i32) -> i32
+  %0 = arith.minsi %arg0, %arg1 : i32
+  // CHECK: = "llvm.intr.smax"(%arg0, %arg1) : (i32, i32) -> i32
+  %1 = arith.maxsi %arg0, %arg1 : i32
+  // CHECK: = "llvm.intr.umin"(%arg0, %arg1) : (i32, i32) -> i32
+  %2 = arith.minui %arg0, %arg1 : i32
+  // CHECK: = "llvm.intr.umax"(%arg0, %arg1) : (i32, i32) -> i32
+  %3 = arith.maxui %arg0, %arg1 : i32
+  return %0 : i32
+}
+
+// CHECK-LABEL: @minmaxf
+func.func @minmaxf(%arg0 : f32, %arg1 : f32) -> f32 {
+  // CHECK: = "llvm.intr.minnum"(%arg0, %arg1) : (f32, f32) -> f32
+  %0 = arith.minf %arg0, %arg1 : f32
+  // CHECK: = "llvm.intr.maxnum"(%arg0, %arg1) : (f32, f32) -> f32
+  %1 = arith.maxf %arg0, %arg1 : f32
+  return %0 : f32
+}