if 2 ^ 4 , 3 ^ 3 , and 13 ^ 3 are factors of the product of 1452 and w , where w is a positive integer , what is the smallest possible value of w ?  Choose the correct choice:
A) 198
B) 288
C) 363
D) 396
E) 468

Rationale: i will go with e ( pending elements to match is 2 ^ 2 * 3 ^ 2 * 13 ^ 1 = 468
Answer: E