Find the number of ordered pairs (a,b)(a, b)(a,b) of positive integers such that LCM(a,b)=360\text{LCM}(a, b) = 360LCM(a,b)=360 and GCD(a,b)=6\text{GCD}(a, b) = 6GCD(a,b)=6.
4
8
16
2