If \(w\) is a prime number greater than \(3,\) and \(z = 36w,\) what is the least common multiple of \(z\) and \(6w,\)

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If \(w\) is a prime number greater than \(3,\) and \(z = 36w,\) what is the least common multiple of \(z\) and \(6w,\) in terms of \(w?\)

A. \(24w\)
B. \(32w\)
C. \(36w\)
D. \(48w\)
E. \(72w\)

Answer: C

Source: Manhattan GMAT