Hello mibar. According to the Canon homepage, the LC-E6 and the LC-E6E are compatible with the LP-E6P.

https://de.canon.ch/store...

However, if you have more than one battery, I would switch to third-party manufacturers, as they are cheaper and have the advantage that 2-4 batteries can be charged at the same time. I have been doing this myself for many years and have never had any problems.