The integer m is a perfect cube exactly when it is equal to n^{3} for some integer n. For example, 1000 is a perfect cube since 1000=10^{3}. What is the smallest positive integer k for which the integer 2^{4} \times 3^{2} \times 5^{5} \times k is a perfect cube?
Answer Choices
A. 12
B. 30
C. 60
D. 480
E. 1620