Given Numbers: 18, 24, 36
Identify the Prime Factors of 18, 24 and 36 by Prime Factorization:
Prime Factorization of 18: 18 = 2 x 3 x 3 = 21 x 32
Prime Factorization of 24: 24 = 2 x 2 x 2 x 3 = 23 x 31
Prime Factorization of 36: 36 = 2 x 2 x 3 x 3 = 22 x 32
Prime Factors of 18, 24 and 36 (collectively): 2 and 3
Least Common Multiple of 18, 24 and 36 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(18, 24, 36) = 23 x 32
LCM(18, 24, 36) = 8 x 9
LCM(18, 24, 36) = 72
Least Common Multiple of 18, 24 and 36 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
