diff --git a/llvm/lib/Transforms/InstCombine/InstCombineMulDivRem.cpp b/llvm/lib/Transforms/InstCombine/InstCombineMulDivRem.cpp
--- a/llvm/lib/Transforms/InstCombine/InstCombineMulDivRem.cpp
+++ b/llvm/lib/Transforms/InstCombine/InstCombineMulDivRem.cpp
@@ -1681,6 +1681,101 @@
   return nullptr;
 }
 
+// Variety of transform for (urem/srem (mul/shl X, Y), (mul/shl X, Z))
+static Instruction *simplifyIRemMulShl(BinaryOperator &I,
+                                       InstCombinerImpl &IC) {
+  Value *Op0 = I.getOperand(0), *Op1 = I.getOperand(1), *A, *B, *C, *D;
+  if (!match(Op0, m_Mul(m_Value(A), m_Value(B))) ||
+      !match(Op1, m_Mul(m_Value(C), m_Value(D))))
+    return nullptr;
+
+  Value *X = nullptr, *Y, *Z;
+
+  // Do this by hand as opposed to using m_Specific because either A/B (or
+  // C/D) can be our X.
+  if (A == C || A == D) {
+    X = A;
+    Y = B;
+    Z = A == C ? D : C;
+  } else if (B == C || B == D) {
+    X = B;
+    Y = A;
+    Z = B == C ? D : C;
+  }
+
+  if (!X)
+    return nullptr;
+
+  auto GetOperandAsConstantInt = [&](Value *Op) -> ConstantInt * {
+    if (I.getType()->isVectorTy()) {
+      auto VConstOp = dyn_cast<Constant>(Op);
+      if (!VConstOp)
+        return nullptr;
+      VConstOp = VConstOp->getSplatValue();
+      if (!VConstOp)
+        return nullptr;
+
+      return dyn_cast<ConstantInt>(VConstOp);
+    }
+    return dyn_cast<ConstantInt>(Op);
+  };
+
+  ConstantInt *ConstY = GetOperandAsConstantInt(Y);
+  ConstantInt *ConstZ = GetOperandAsConstantInt(Z);
+
+  bool IsSRem = I.getOpcode() == Instruction::SRem;
+
+  if (!ConstY || !ConstZ)
+    return nullptr;
+
+  APInt APIntY = ConstY->getValue();
+  APInt APIntZ = ConstZ->getValue();
+
+  BinaryOperator *BO0 = cast<BinaryOperator>(Op0);
+  BinaryOperator *BO1 = cast<BinaryOperator>(Op1);
+
+  bool BO0HasNSW = BO0->hasNoSignedWrap();
+  bool BO0HasNUW = BO0->hasNoUnsignedWrap();
+
+  APInt RemYZ = IsSRem ? APIntY.srem(APIntZ) : APIntY.urem(APIntZ);
+  // (rem (mul nuw/nsw X, Y), (mul X, Z))
+  //      if (rem Y, Z) == 0
+  //          -> 0
+  if (RemYZ.isZero() && (IsSRem ? BO0HasNSW : BO0HasNUW))
+    return IC.replaceInstUsesWith(I, ConstantInt::getNullValue(I.getType()));
+
+  bool BO1HasNSW = BO1->hasNoSignedWrap();
+  bool BO1HasNUW = BO1->hasNoUnsignedWrap();
+
+  // (rem (mul X, Y), (mul nuw/nsw X, Z))
+  //      if (rem Y, Z) == Y
+  //          -> (mul nuw/nsw X, Y)
+  if (RemYZ == APIntY && (IsSRem ? BO1HasNSW : BO1HasNUW)) {
+    BinaryOperator *BO =
+        BinaryOperator::CreateMul(X, ConstantInt::get(I.getType(), APIntY));
+    // Copy any overflow flags from Op0.
+    if (IsSRem || BO0HasNSW)
+      BO->setHasNoSignedWrap();
+    if (!IsSRem || BO0HasNUW)
+      BO->setHasNoUnsignedWrap();
+    return BO;
+  }
+
+  // (rem (mul nuw/nsw X, Y), (mul {nsw} X, Z))
+  //      if Y >= Z
+  //          -> (mul {nuw} nsw X, (rem Y, Z))
+  if (APIntY.uge(APIntZ) && (IsSRem ? (BO0HasNSW && BO1HasNSW) : BO0HasNUW)) {
+    BinaryOperator *BO =
+        BinaryOperator::CreateMul(X, ConstantInt::get(I.getType(), RemYZ));
+    BO->setHasNoSignedWrap();
+    if (BO0HasNUW)
+      BO->setHasNoUnsignedWrap();
+    return BO;
+  }
+
+  return nullptr;
+}
+
 /// This function implements the transforms common to both integer remainder
 /// instructions (urem and srem). It is called by the visitors to those integer
 /// remainder instructions.
@@ -1733,6 +1828,9 @@
     }
   }
 
+  if (Instruction *R = simplifyIRemMulShl(I, *this))
+    return R;
+
   return nullptr;
 }
 
diff --git a/llvm/test/Transforms/InstCombine/rem-mul-shl.ll b/llvm/test/Transforms/InstCombine/rem-mul-shl.ll
--- a/llvm/test/Transforms/InstCombine/rem-mul-shl.ll
+++ b/llvm/test/Transforms/InstCombine/rem-mul-shl.ll
@@ -31,10 +31,7 @@
 
 define <vscale x 16 x i8> @urem_XY_XZ_with_CY_rem_CZ_eq_0_scalable(<vscale x 16 x i8> %X) {
 ; CHECK-LABEL: @urem_XY_XZ_with_CY_rem_CZ_eq_0_scalable(
-; CHECK-NEXT:    [[BO0:%.*]] = mul nuw <vscale x 16 x i8> [[X:%.*]], shufflevector (<vscale x 16 x i8> insertelement (<vscale x 16 x i8> poison, i8 15, i64 0), <vscale x 16 x i8> poison, <vscale x 16 x i32> zeroinitializer)
-; CHECK-NEXT:    [[BO1:%.*]] = mul <vscale x 16 x i8> [[X]], shufflevector (<vscale x 16 x i8> insertelement (<vscale x 16 x i8> poison, i8 5, i64 0), <vscale x 16 x i8> poison, <vscale x 16 x i32> zeroinitializer)
-; CHECK-NEXT:    [[R:%.*]] = urem <vscale x 16 x i8> [[BO0]], [[BO1]]
-; CHECK-NEXT:    ret <vscale x 16 x i8> [[R]]
+; CHECK-NEXT:    ret <vscale x 16 x i8> zeroinitializer
 ;
   %BO0 = mul nuw <vscale x 16 x i8> %X, shufflevector(<vscale x 16 x i8> insertelement(<vscale x 16 x i8> poison, i8 15, i64 0) , <vscale x 16 x i8> poison, <vscale x 16 x i32> zeroinitializer)
   %BO1 = mul <vscale x 16 x i8> %X, shufflevector(<vscale x 16 x i8> insertelement(<vscale x 16 x i8> poison, i8 5, i64 0) , <vscale x 16 x i8> poison, <vscale x 16 x i32> zeroinitializer)
@@ -44,10 +41,7 @@
 
 define i8 @urem_XY_XZ_with_CY_rem_CZ_eq_0(i8 %X) {
 ; CHECK-LABEL: @urem_XY_XZ_with_CY_rem_CZ_eq_0(
-; CHECK-NEXT:    [[BO0:%.*]] = mul nuw i8 [[X:%.*]], 15
-; CHECK-NEXT:    [[BO1:%.*]] = mul i8 [[X]], 5
-; CHECK-NEXT:    [[R:%.*]] = urem i8 [[BO0]], [[BO1]]
-; CHECK-NEXT:    ret i8 [[R]]
+; CHECK-NEXT:    ret i8 0
 ;
   %BO0 = mul nuw i8 %X, 15
   %BO1 = mul i8 %X, 5
@@ -70,9 +64,7 @@
 
 define i8 @urem_XY_XZ_with_CY_lt_CZ(i8 %X) {
 ; CHECK-LABEL: @urem_XY_XZ_with_CY_lt_CZ(
-; CHECK-NEXT:    [[BO0:%.*]] = mul i8 [[X:%.*]], 3
-; CHECK-NEXT:    [[BO1:%.*]] = mul nuw i8 [[X]], 12
-; CHECK-NEXT:    [[R:%.*]] = urem i8 [[BO0]], [[BO1]]
+; CHECK-NEXT:    [[R:%.*]] = mul nuw i8 [[X:%.*]], 3
 ; CHECK-NEXT:    ret i8 [[R]]
 ;
   %BO0 = mul i8 %X, 3
@@ -122,9 +114,7 @@
 
 define i8 @urem_XY_XZ_with_CY_gt_CZ(i8 %X) {
 ; CHECK-LABEL: @urem_XY_XZ_with_CY_gt_CZ(
-; CHECK-NEXT:    [[BO0:%.*]] = mul nuw i8 [[X:%.*]], 21
-; CHECK-NEXT:    [[BO1:%.*]] = mul i8 [[X]], 6
-; CHECK-NEXT:    [[R:%.*]] = urem i8 [[BO0]], [[BO1]]
+; CHECK-NEXT:    [[R:%.*]] = mul nuw nsw i8 [[X:%.*]], 3
 ; CHECK-NEXT:    ret i8 [[R]]
 ;
   %BO0 = mul nuw i8 %X, 21
@@ -242,10 +232,7 @@
 ;; Signed Verions
 define <vscale x 16 x i8> @srem_XY_XZ_with_CY_rem_CZ_eq_0_scalable(<vscale x 16 x i8> %X) {
 ; CHECK-LABEL: @srem_XY_XZ_with_CY_rem_CZ_eq_0_scalable(
-; CHECK-NEXT:    [[BO0:%.*]] = mul nsw <vscale x 16 x i8> [[X:%.*]], shufflevector (<vscale x 16 x i8> insertelement (<vscale x 16 x i8> poison, i8 15, i64 0), <vscale x 16 x i8> poison, <vscale x 16 x i32> zeroinitializer)
-; CHECK-NEXT:    [[BO1:%.*]] = mul <vscale x 16 x i8> [[X]], shufflevector (<vscale x 16 x i8> insertelement (<vscale x 16 x i8> poison, i8 5, i64 0), <vscale x 16 x i8> poison, <vscale x 16 x i32> zeroinitializer)
-; CHECK-NEXT:    [[R:%.*]] = srem <vscale x 16 x i8> [[BO0]], [[BO1]]
-; CHECK-NEXT:    ret <vscale x 16 x i8> [[R]]
+; CHECK-NEXT:    ret <vscale x 16 x i8> zeroinitializer
 ;
   %BO0 = mul nsw <vscale x 16 x i8> %X, shufflevector(<vscale x 16 x i8> insertelement(<vscale x 16 x i8> poison, i8 15, i64 0) , <vscale x 16 x i8> poison, <vscale x 16 x i32> zeroinitializer)
   %BO1 = mul <vscale x 16 x i8> %X, shufflevector(<vscale x 16 x i8> insertelement(<vscale x 16 x i8> poison, i8 5, i64 0) , <vscale x 16 x i8> poison, <vscale x 16 x i32> zeroinitializer)
@@ -255,10 +242,7 @@
 
 define i8 @srem_XY_XZ_with_CY_rem_CZ_eq_0(i8 %X) {
 ; CHECK-LABEL: @srem_XY_XZ_with_CY_rem_CZ_eq_0(
-; CHECK-NEXT:    [[BO0:%.*]] = mul nsw i8 [[X:%.*]], 9
-; CHECK-NEXT:    [[BO1:%.*]] = mul i8 [[X]], 3
-; CHECK-NEXT:    [[R:%.*]] = srem i8 [[BO0]], [[BO1]]
-; CHECK-NEXT:    ret i8 [[R]]
+; CHECK-NEXT:    ret i8 0
 ;
   %BO0 = mul nsw i8 %X, 9
   %BO1 = mul i8 %X, 3
@@ -294,9 +278,7 @@
 
 define i8 @srem_XY_XZ_with_CY_lt_CZ_with_nuw_out(i8 %X) {
 ; CHECK-LABEL: @srem_XY_XZ_with_CY_lt_CZ_with_nuw_out(
-; CHECK-NEXT:    [[BO0:%.*]] = mul nuw i8 [[X:%.*]], 5
-; CHECK-NEXT:    [[BO1:%.*]] = mul nsw i8 [[X]], 15
-; CHECK-NEXT:    [[R:%.*]] = srem i8 [[BO0]], [[BO1]]
+; CHECK-NEXT:    [[R:%.*]] = mul nuw nsw i8 [[X:%.*]], 5
 ; CHECK-NEXT:    ret i8 [[R]]
 ;
   %BO0 = mul nuw i8 %X, 5
@@ -346,9 +328,7 @@
 
 define i8 @srem_XY_XZ_with_CY_gt_CZ_with_nuw_out(i8 %X) {
 ; CHECK-LABEL: @srem_XY_XZ_with_CY_gt_CZ_with_nuw_out(
-; CHECK-NEXT:    [[BO0:%.*]] = mul nuw nsw i8 [[X:%.*]], 10
-; CHECK-NEXT:    [[BO1:%.*]] = mul nsw i8 [[X]], 6
-; CHECK-NEXT:    [[R:%.*]] = srem i8 [[BO0]], [[BO1]]
+; CHECK-NEXT:    [[R:%.*]] = shl nuw nsw i8 [[X:%.*]], 2
 ; CHECK-NEXT:    ret i8 [[R]]
 ;
   %BO0 = mul nsw nuw i8 %X, 10