If the least common multiple of a positive integer \(x, 4^3\) and \(6^5\) is \(6^6,\) then \(x\) can take how many value

[Vincen]

If the least common multiple of a positive integer \(x, 4^3\) and \(6^5\) is \(6^6,\) then \(x\) can take how many values?

A 1
B 6
C 7
D 30
E 36

Answer: C

Source: GMAT Club Tests