Least Common Multiple of 42, 105 and 147 by Prime Factorization

Identify the Prime Factors of 42, 105 and 147 by Prime Factorization:
Prime Factorization of 42: 42 = 2 x 3 x 7 = 21 x 31 x 71
Prime Factorization of 105: 105 = 3 x 5 x 7 = 31 x 51 x 71
Prime Factorization of 147: 147 = 3 x 7 x 7 = 31 x 72
Prime Factors of 42, 105 and 147: 2, 3, 5 and 7
Least Common Multiple of 42, 105 and 147 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(42,105,147) = 21 x 31 x 51 x 72
LCM(42,105,147) = 2 x 3 x 5 x 49
LCM(42,105,147) = 1,470

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