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