Given Numbers: 30, 40
Identify the Prime Factors of 30 and 40 by Prime Factorization:
Prime Factorization of 30: 30 = 2 x 3 x 5 = 21 x 31 x 51
Prime Factorization of 40: 40 = 2 x 2 x 2 x 5 = 23 x 51
Prime Factors of 30 and 40 (collectively): 2, 3 and 5
Least Common Multiple of 30 and 40 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(30, 40) = 23 x 31 x 51
LCM(30, 40) = 8 x 3 x 5
LCM(30, 40) = 120
Least Common Multiple of 30 and 40 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
