Given Numbers: 60, 75
Identify the Prime Factors of 60 and 75 by Prime Factorization:
Prime Factorization of 60: 60 = 2 x 2 x 3 x 5 = 22 x 31 x 51
Prime Factorization of 75: 75 = 3 x 5 x 5 = 31 x 52
Prime Factors of 60 and 75 (collectively): 2, 3 and 5
Least Common Multiple of 60 and 75 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(60, 75) = 22 x 31 x 52
LCM(60, 75) = 4 x 3 x 25
LCM(60, 75) = 300
Least Common Multiple of 60 and 75 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
