diff --git a/absl/random/log_uniform_int_distribution.h b/absl/random/log_uniform_int_distribution.h
index cbd5e0ca2ba..aac249274bf 100644
--- a/absl/random/log_uniform_int_distribution.h
+++ b/absl/random/log_uniform_int_distribution.h
@@ -80,7 +80,18 @@ class log_uniform_int_distribution {
         // which can eliminate some values depending on where the bounds fall.
         const double inv_log_base = 1.0 / std::log(static_cast<double>(base_));
         const double log_range = std::log(static_cast<double>(range()) + 0.5);
-        log_range_ = static_cast<int>(std::ceil(inv_log_base * log_range));
+        const double result = std::ceil(inv_log_base * log_range);
+        // A base_ of 0 or 1, or a negative base_, violates the base_ > 1
+        // precondition and leaves inv_log_base non-finite, so `result` can be
+        // inf or NaN. Casting such a value to int is undefined behavior; guard
+        // it so an out-of-contract base yields a defined (if meaningless)
+        // log_range_ instead. For a valid base_ (> 1), result is a small
+        // non-negative integer and this guard is a no-op.
+        log_range_ =
+            (result >= 0 &&
+             result < static_cast<double>((std::numeric_limits<int>::max)()))
+                ? static_cast<int>(result)
+                : 0;
       }
     }
 
diff --git a/absl/random/log_uniform_int_distribution_test.cc b/absl/random/log_uniform_int_distribution_test.cc
index 591b5b37e48..9190f0f19b4 100644
--- a/absl/random/log_uniform_int_distribution_test.cc
+++ b/absl/random/log_uniform_int_distribution_test.cc
@@ -116,6 +116,33 @@ TYPED_TEST(LogUniformIntDistributionTypeTest, SerializeTest) {
   }
 }
 
+// A base of 1 (or, for signed types, a negative base) violates the base > 1
+// precondition. In debug builds the constructor asserts; in opt builds it must
+// still yield a defined object rather than invoking undefined behavior while
+// computing log_range_, which casts 1/log(base) * log(range) to int -- a cast
+// of a non-finite double (inf/NaN) to int is UB. The bad base can also reach
+// the object through operator>> reading an untrusted stream.
+TYPED_TEST(LogUniformIntDistributionTypeTest, InvalidBaseIsDefinedInOptMode) {
+#if defined(NDEBUG)
+  absl::InsecureBitGen gen;
+
+  // Direct construction with an out-of-contract base must not invoke UB.
+  absl::log_uniform_int_distribution<TypeParam> dist(0, 100, 1);
+  auto sample = dist(gen);
+  EXPECT_GE(sample, dist.min());
+  EXPECT_LE(sample, dist.max());
+
+  // The same bad base arriving through deserialization must also stay defined.
+  absl::log_uniform_int_distribution<TypeParam> after(3, 6, 17);
+  std::istringstream is("0 100 1");
+  is >> after;
+  EXPECT_EQ(after.base(), static_cast<TypeParam>(1));
+  sample = after(gen);
+  EXPECT_GE(sample, after.min());
+  EXPECT_LE(sample, after.max());
+#endif  // NDEBUG
+}
+
 using log_uniform_i32 = absl::log_uniform_int_distribution<int32_t>;
 
 class LogUniformIntChiSquaredTest