Least Common Multiple of 9, 30 and 75 by Prime Factorization

Identify the Prime Factors of 9, 30 and 75 by Prime Factorization:
Prime Factorization of 9: 9 = 3 x 3 = 32
Prime Factorization of 30: 30 = 2 x 3 x 5 = 21 x 31 x 51
Prime Factorization of 75: 75 = 3 x 5 x 5 = 31 x 52
Prime Factors of 9, 30 and 75: 2, 3 and 5
Least Common Multiple of 9, 30 and 75 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(9,30,75) = 21 x 32 x 52
LCM(9,30,75) = 2 x 9 x 25
LCM(9,30,75) = 450

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