Least Common Multiple of 28, 63 and 70 by Prime Factorization

Given Numbers: 28, 63, 70
Identify the Prime Factors of 28, 63 and 70 by Prime Factorization:
Prime Factorization of 28: 28 = 2 x 2 x 7 = 22 x 71
Prime Factorization of 63: 63 = 3 x 3 x 7 = 32 x 71
Prime Factorization of 70: 70 = 2 x 5 x 7 = 21 x 51 x 71
Prime Factors of 28, 63 and 70 (collectively): 2, 3, 5 and 7
Least Common Multiple of 28, 63 and 70 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(28, 63, 70) = 22 x 32 x 51 x 71
LCM(28, 63, 70) = 4 x 9 x 5 x 7
LCM(28, 63, 70) = 1,260

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