Given Numbers: 2, 3, 4, 6, 12, 24, 36
Identify the Prime Factors of 2, 3, 4, 6, 12, 24 and 36 by Prime Factorization:
Prime Factorization of 2: 2 = 21 (prime number)
Prime Factorization of 3: 3 = 31 (prime number)
Prime Factorization of 4: 4 = 2 x 2 = 22
Prime Factorization of 6: 6 = 2 x 3 = 21 x 31
Prime Factorization of 12: 12 = 2 x 2 x 3 = 22 x 31
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 2, 3, 4, 6, 12, 24 and 36 (collectively): 2 and 3
Least Common Multiple of 2, 3, 4, 6, 12, 24 and 36 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(2, 3, 4, 6, 12, 24, 36) = 23 x 32
LCM(2, 3, 4, 6, 12, 24, 36) = 8 x 9
LCM(2, 3, 4, 6, 12, 24, 36) = 72
Least Common Multiple of 2, 3, 4, 6, 12, 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.
