diff --git a/llvm/lib/Transforms/Scalar/LoopStrengthReduce.cpp b/llvm/lib/Transforms/Scalar/LoopStrengthReduce.cpp
--- a/llvm/lib/Transforms/Scalar/LoopStrengthReduce.cpp
+++ b/llvm/lib/Transforms/Scalar/LoopStrengthReduce.cpp
@@ -4147,7 +4147,9 @@
       // other orig regs.
       ImmMapTy::const_iterator OtherImms[] = {
         Imms.begin(), std::prev(Imms.end()),
-        Imms.lower_bound((Imms.begin()->first + std::prev(Imms.end())->first) /
+        // FIXME: Formulas should store bitwidth to do wrapping properly.
+        //        See PR41034.
+        Imms.lower_bound(((uint64_t)Imms.begin()->first + std::prev(Imms.end())->first) /
                          2)
       };
       for (size_t i = 0, e = array_lengthof(OtherImms); i != e; ++i) {
diff --git a/llvm/test/Transforms/LoopStrengthReduce/lsr-overflow.ll b/llvm/test/Transforms/LoopStrengthReduce/lsr-overflow.ll
new file mode 100644
--- /dev/null
+++ b/llvm/test/Transforms/LoopStrengthReduce/lsr-overflow.ll
@@ -0,0 +1,39 @@
+; NOTE: Assertions have been autogenerated by utils/update_test_checks.py
+; RUN: opt -lsr-complexity-limit=50 -loop-reduce -S %s | FileCheck %s
+
+target datalayout = "e-m:o-i64:64-f80:128-n8:16:32:64-S128"
+
+define void @overflow1(i64 %a) {
+; CHECK-LABEL: @overflow1(
+; CHECK-NEXT:  bb:
+; CHECK-NEXT:    [[TMP0:%.*]] = add i64 [[A:%.*]], -1
+; CHECK-NEXT:    [[TMP1:%.*]] = add i64 [[A]], -9223372036854775808
+; CHECK-NEXT:    br label [[BB1:%.*]]
+; CHECK:       bb1:
+; CHECK-NEXT:    [[LSR_IV1:%.*]] = phi i64 [ [[LSR_IV_NEXT2:%.*]], [[BB1]] ], [ [[TMP1]], [[BB:%.*]] ]
+; CHECK-NEXT:    [[LSR_IV:%.*]] = phi i64 [ [[LSR_IV_NEXT:%.*]], [[BB1]] ], [ [[TMP0]], [[BB]] ]
+; CHECK-NEXT:    [[TMP4:%.*]] = icmp ne i64 [[LSR_IV1]], 0
+; CHECK-NEXT:    [[TMP5:%.*]] = and i1 [[TMP4]], true
+; CHECK-NEXT:    [[LSR_IV_NEXT]] = add i64 [[LSR_IV]], 1
+; CHECK-NEXT:    [[LSR_IV_NEXT2]] = add i64 [[LSR_IV1]], 1
+; CHECK-NEXT:    br i1 [[TMP5]], label [[BB1]], label [[BB7:%.*]]
+; CHECK:       bb7:
+; CHECK-NEXT:    [[TMP9:%.*]] = and i64 [[LSR_IV_NEXT]], 1
+; CHECK-NEXT:    [[TMP10:%.*]] = icmp eq i64 [[TMP9]], 0
+; CHECK-NEXT:    unreachable
+;
+bb:
+  br label %bb1
+
+bb1:                                              ; preds = %bb1, %bb
+  %tmp = phi i64 [ %a, %bb ], [ %tmp6, %bb1 ]
+  %tmp4 = icmp ne i64 %tmp, -9223372036854775808
+  %tmp5 = and i1 %tmp4, 1
+  %tmp6 = add i64 %tmp, 1
+  br i1 %tmp5, label %bb1, label %bb7
+
+bb7:                                              ; preds = %bb1
+  %tmp9 = and i64 %tmp, 1
+  %tmp10 = icmp eq i64 %tmp9, 0
+  unreachable
+}