Which of the following is a stable oxidation state of lanthanides?
4f1−14 5d0−1 6s2
So, there are one electrons of 5d and two electron of 6s available for removal. So, the most common and stable oxidation state of lanthanide is +3.
Occasionally +2 and +4 oxidation states are also obtained due to extra stability of empty, half-filled and fully filled f subshell.