diff --git a/libavformat/mux.c b/libavformat/mux.c
index cd5481f1d2b4f71f0c8e00f44532c15dbe527825..48f4d77d5fd6eabf9eb07d0cb96630d06daa6ffe 100644
--- a/libavformat/mux.c
+++ b/libavformat/mux.c
@@ -113,7 +113,7 @@ AVRational ff_choose_timebase(AVFormatContext *s, AVStream *st, int min_precissi
     } else {
         q = st->codec->time_base;
     }
-    for (j=2; j<2000; j+= 1+(j>2))
+    for (j=2; j<14; j+= 1+(j>2))
         while (q.den / q.num < min_precission && q.num % j == 0)
             q.num /= j;
     while (q.den / q.num < min_precission && q.den < (1<<24))