Least Common Multiple of 3, 8 and 13 by Prime Factorization

Given Numbers: 3, 8, 13
Identify the Prime Factors of 3, 8 and 13 by Prime Factorization:
Prime Factorization of 3: 3 = 31 (prime number)
Prime Factorization of 8: 8 = 2 x 2 x 2 = 23
Prime Factorization of 13: 13 = 131 (prime number)
Prime Factors of 3, 8 and 13 (collectively): 2, 3 and 13
Least Common Multiple of 3, 8 and 13 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(3, 8, 13) = 23 x 31 x 131
LCM(3, 8, 13) = 8 x 3 x 13
LCM(3, 8, 13) = 312

The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.