* France has 6-month mandate to restore security
* Looting and killings rampant
* France and U.N. condemn lynching in capital (Adds U.N. quotes from Bangui)
By Maya Nikolaeva and Media Coulibaly
PARIS/BANGUI, Feb 6 (Reuters) - French Defence Minister Jean-Yves Le Drian said on Thursday the United Nations would probably have to renew a mandate for French troops to restore order in ...