Given Numbers: 12, 24, 60
Identify the Prime Factors of 12, 24 and 60 by Prime Factorization:
Prime Factorization of 12: 12 = 2 x 2 x 3 = 22 x 31
Prime Factorization of 24: 24 = 2 x 2 x 2 x 3 = 23 x 31
Prime Factorization of 60: 60 = 2 x 2 x 3 x 5 = 22 x 31 x 51
Prime Factors of 12, 24 and 60 (collectively): 2, 3 and 5
Least Common Multiple of 12, 24 and 60 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(12, 24, 60) = 23 x 31 x 51
LCM(12, 24, 60) = 8 x 3 x 5
LCM(12, 24, 60) = 120
Least Common Multiple of 12, 24 and 60 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
