diff --git a/src/Illuminate/Cache/MemcachedStore.php b/src/Illuminate/Cache/MemcachedStore.php
index 23291099c795..8dd65f593a64 100755
--- a/src/Illuminate/Cache/MemcachedStore.php
+++ b/src/Illuminate/Cache/MemcachedStore.php
@@ -182,7 +182,7 @@ public function flush()
      */
     protected function toTimestamp($minutes)
     {
-        return $minutes > 0 ? Carbon::now()->timestamp + ((int) $minutes * 60) : 0;
+        return $minutes > 0 ? Carbon::now()->addMinutes($minutes)->timestamp : 0;
     }
 
     /**