Least Common Multiple of 48 and 70 by Prime Factorization

Given Numbers: 48, 70
Identify the Prime Factors of 48 and 70 by Prime Factorization:
Prime Factorization of 48: 48 = 2 x 2 x 2 x 2 x 3 = 24 x 31
Prime Factorization of 70: 70 = 2 x 5 x 7 = 21 x 51 x 71
Prime Factors of 48 and 70 (collectively): 2, 3, 5 and 7
Least Common Multiple of 48 and 70 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(48, 70) = 24 x 31 x 51 x 71
LCM(48, 70) = 16 x 3 x 5 x 7
LCM(48, 70) = 1,680

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