Least Common Multiple of 49, 81 and 231 by Prime Factorization

Given Numbers: 49, 81, 231
Identify the Prime Factors of 49, 81 and 231 by Prime Factorization:
Prime Factorization of 49: 49 = 7 x 7 = 72
Prime Factorization of 81: 81 = 3 x 3 x 3 x 3 = 34
Prime Factorization of 231: 231 = 3 x 7 x 11 = 31 x 71 x 111
Prime Factors of 49, 81 and 231 (collectively): 3, 7 and 11
Least Common Multiple of 49, 81 and 231 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(49, 81, 231) = 34 x 72 x 111
LCM(49, 81, 231) = 81 x 49 x 11
LCM(49, 81, 231) = 43,659

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