N is the smallest integer > 1 such that the AOD(N^k) is the same for k in {1,2,3,4}

M has the same requirements as N, except AOD(M) must be an integer.

L has the same requirements as M, except that L is the smallest such integer with AOD(L) equal to some integer **other** than AOD(M).

Find:

1. N, AOD(N)

2. M, AOD(M)

3. L, AOD(L)