Given Numbers: 12, 18, 36
Identify the Prime Factors of 12, 18 and 36 by Prime Factorization:
Prime Factorization of 12: 12 = 2 x 2 x 3 = 22 x 31
Prime Factorization of 18: 18 = 2 x 3 x 3 = 21 x 32
Prime Factorization of 36: 36 = 2 x 2 x 3 x 3 = 22 x 32
Prime Factors of 12, 18 and 36 (collectively): 2 and 3
Least Common Multiple of 12, 18 and 36 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(12, 18, 36) = 22 x 32
LCM(12, 18, 36) = 4 x 9
LCM(12, 18, 36) = 36
Least Common Multiple of 12, 18 and 36 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
