Identify the Prime Factors of 120 and 150 by Prime Factorization:
Prime Factorization of 120: 120 = 2 x 2 x 2 x 3 x 5 = 23 x 31 x 51
Prime Factorization of 150: 150 = 2 x 3 x 5 x 5 = 21 x 31 x 52
Prime Factors of 120 and 150: 2, 3 and 5
Least Common Multiple of 120 and 150 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(120,150) = 23 x 31 x 52
LCM(120,150) = 8 x 3 x 25
LCM(120,150) = 600
Least Common Multiple of 120 and 150 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.