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
Least Common Multiple of 9, 30 and 75 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.