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Method of prime factorization is one of the best method to find LCM.
54 = 2x3x3x3
72 = 2x2x2x3x3
H.C.F.(54,72) = 2x3x3 = 18
L.C.M.(x,y) = H.C.F.(x,y) x Product of other numbers in Prime Factorizations
L.C.M.(54,72) = H.C.F.(54,72) x Product of other numbers in Prime Factorizations
= 18 x 3x2x2 = 18x12 = 216.
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