Given Numbers: 36, 60, 84
Identify the Prime Factors of 36, 60 and 84 by Prime Factorization:
Prime Factorization of 36: 36 = 2 x 2 x 3 x 3 = 22 x 32
Prime Factorization of 60: 60 = 2 x 2 x 3 x 5 = 22 x 31 x 51
Prime Factorization of 84: 84 = 2 x 2 x 3 x 7 = 22 x 31 x 71
Prime Factors of 36, 60 and 84 (collectively): 2, 3, 5 and 7
Least Common Multiple of 36, 60 and 84 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(36, 60, 84) = 22 x 32 x 51 x 71
LCM(36, 60, 84) = 4 x 9 x 5 x 7
LCM(36, 60, 84) = 1,260
Least Common Multiple of 36, 60 and 84 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
