Least Common Multiple of 126 and 274 by Prime Factorization

Given Numbers: 126, 274
Identify the Prime Factors of 126 and 274 by Prime Factorization:
Prime Factorization of 126: 126 = 2 x 3 x 3 x 7 = 21 x 32 x 71
Prime Factorization of 274: 274 = 2 x 137 = 21 x 1371
Prime Factors of 126 and 274 (collectively): 2, 3, 7 and 137
Least Common Multiple of 126 and 274 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(126, 274) = 21 x 32 x 71 x 1371
LCM(126, 274) = 2 x 9 x 7 x 137
LCM(126, 274) = 17,262

The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.