The product of two integers a and b is 270. What is the LCM of a and b?
I. The GCD of a and b is 9.
II. a and b are divisible by 3.

A

if the statement I alone is sufficient to answer the question.

B

if the statement II alone is sufficient to answer the question.

C

if both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

if both the statements I and II together are not sufficient to answer the question and additional data is required.