Least Common Multiple of 256 and 390,625 by Prime Factorization

Given Numbers: 256, 390,625
Identify the Prime Factors of 256 and 390,625 by Prime Factorization:
Prime Factorization of 256: 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 28
Prime Factorization of 390,625: 390,625 = 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 58
Prime Factors of 256 and 390,625 (collectively): 2 and 5
Least Common Multiple of 256 and 390,625 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(256, 390,625) = 28 x 58
LCM(256, 390,625) = 256 x 390,625
LCM(256, 390,625) = 100,000,000

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