AMC 8 2013 Problem 10

What is the ratio of the least common multiple of 180 and 594 to the greatest common factor of 180 and 594? $\textbf{(A)}\ 110 \textbf{(B)}\ 165 \textbf{(C)}\ 330 \textbf{(D)}\ 625 \textbf{(E)}\ 660$