diff --git a/COPYING.GPL b/COPYING.GPLv2
similarity index 100%
rename from COPYING.GPL
rename to COPYING.GPLv2
diff --git a/COPYING.LGPL b/COPYING.LGPLv2.1
similarity index 100%
rename from COPYING.LGPL
rename to COPYING.LGPLv2.1
diff --git a/LICENSE b/LICENSE
index 929f65bebc..a5c569040a 100644
--- a/LICENSE
+++ b/LICENSE
@@ -1,10 +1,10 @@
 Most files in FFmpeg are under the GNU Lesser General Public License version 2.1
-or later (LGPL v2.1+). Read the file COPYING.LGPL for details. Some other files
-have a MIT/X11/BSD-style license. In combination the LGPL v2.1+ applies to
+or later (LGPL v2.1+). Read the file COPYING.LGPLv2.1 for details. Some other
+files have MIT/X11/BSD-style licenses. In combination the LGPL v2.1+ applies to
 FFmpeg.
 
 Some optional parts of FFmpeg are licensed under the GNU General Public License
-version 2 or later (GPL v2+). See the file COPYING.GPL for details. None of
+version 2 or later (GPL v2+). See the file COPYING.GPLv2 for details. None of
 these parts are used by default, you have to explicitly pass --enable-gpl to
 configure to activate them. In this case, FFmpeg's license changes to GPL v2+.