Find LCM(53,21⋅32⋅53)\text{LCM}(5^{3}, 2^{1} \cdot 3^{2} \cdot 5^{3})LCM(53,21⋅32⋅53).
2⋅3⋅52 \cdot 3 \cdot 52⋅3⋅5
111
21⋅32⋅532^{1} \cdot 3^{2} \cdot 5^{3}21⋅32⋅53
22⋅322^2 \cdot 3^222⋅32