Angular Momentum Commutators

The different components of the angular momentum, L = r x p, do not commute with each other, but satisfy the commutation relation [La, Lb] = i hbar epsilon abc Lc. The individual components do commute with L2 = Lx2 + Ly2 + Lz2 . Thus, it is possible to simultaneously specify the eigenvalues of L2 and any one of the angular moment components such as Lz, which is the conventional choice.