If LCM(a,b)=180\text{LCM}(a, b) = 180LCM(a,b)=180 and GCD(a,b)=6\text{GCD}(a, b) = 6GCD(a,b)=6, find the product a⋅ba \cdot ba⋅b.
108010801080
303030
180180180
108001080010800