I'm sure there are two chains of hotels between Formule 1 and Premiere Classe, but I can only find the one, ETAP (part of Accor).  Louvre (Premiere Classe etc) seem to have gotten rid of theirs, and I see they want €41 a night for PC, it was about €24 a few years ago, with the 2 cheaper groups being €18, and F1 €15
LPP is right of course, if you can find an independent its more fun (if clean)  Try the local tourist board website