Find the LCM of two numbers, with prime factorization, \(x^2\cdot y^3\cdot z\) and \(y\cdot x^9,\) where \(x, y\) and \(z\) are three consecutive prime numbers, in the same order.

(1) \(xy = z + 1\)
(2) \(xz\) is even

Answer: D

Source: e-GMAT