hi there , there is a GRE Hard question ,
Let S be the set of all positive integers n such that n2 is a multiple of both 24 and 108 . which of the following integers are divisors of every integer n and S?
12
24
36
72
the answer explanation is say we have to find the LCM of 24 and 108 , so after we factor it we can see its like that
24 = 2 x 2 x 2 x 3 which is (23)(3)
108 = 2 x 2 x 3 x 3 x 3 which is (22) (33)
and say the least common multiple is (23) (33) i didn't understand where this exponent came from ?