Identify the Prime Factors of 24 and 45 by Prime Factorization:
Prime Factorization of 24: 24 = 2 x 2 x 2 x 3 = 23 x 31
Prime Factorization of 45: 45 = 3 x 3 x 5 = 32 x 51
Prime Factors of 24 and 45: 2, 3 and 5
Least Common Multiple of 24 and 45 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(24,45) = 23 x 32 x 51
LCM(24,45) = 8 x 9 x 5
LCM(24,45) = 360
Least Common Multiple of 24 and 45 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.