Find the number of ordered pairs of positive integers (x,y)(x, y)(x,y) such that LCM(x,y)=23⋅32⋅51\text{LCM}(x, y) = 2^3 \cdot 3^2 \cdot 5^1LCM(x,y)=23⋅32⋅51 and GCD(x,y)=21⋅31\text{GCD}(x, y) = 2^1 \cdot 3^1GCD(x,y)=21⋅31.
444
888
121212
161616