If 2^4, 3^3, and 12^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?	Choose one:
A) 198
B) 288
C) 432
D) 396
E) 484
I will go with 432 (pending elements to match is 2^2*3^2*12^1 =432
<result>C</result>
If 2^4, 3^3, and 12^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?