Given Numbers: 40, 90
Identify the Prime Factors of 40 and 90 by Prime Factorization:
Prime Factorization of 40: 40 = 2 x 2 x 2 x 5 = 23 x 51
Prime Factorization of 90: 90 = 2 x 3 x 3 x 5 = 21 x 32 x 51
Prime Factors of 40 and 90 (collectively): 2, 3 and 5
Least Common Multiple of 40 and 90 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(40, 90) = 23 x 32 x 51
LCM(40, 90) = 8 x 9 x 5
LCM(40, 90) = 360
Least Common Multiple of 40 and 90 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.