Find the lowest number which has both \(X\) and \(Y\) as factors, where \(X\) and \(Y\) are positive integers.

[M7MBA]

Find the lowest number which has both \(X\) and \(Y\) as factors, where \(X\) and \(Y\) are positive integers.

(1) \(X\) and \(Y\) have no common prime factors and \(X^2Y^2 = 169\cdot 4.\)
(2) \(2Y = 13X\) and lowest prime factor of \(X\) is \(X.\)

Answer: D

Source: e-GMAT