Least Common Multiple of 85 and 177 by Prime Factorization

Given Numbers: 85, 177
Identify the Prime Factors of 85 and 177 by Prime Factorization:
Prime Factorization of 85: 85 = 5 x 17 = 51 x 171
Prime Factorization of 177: 177 = 3 x 59 = 31 x 591
Prime Factors of 85 and 177 (collectively): 3, 5, 17 and 59
Least Common Multiple of 85 and 177 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(85, 177) = 31 x 51 x 171 x 591
LCM(85, 177) = 3 x 5 x 17 x 59
LCM(85, 177) = 15,045

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