Given Numbers: 30, 100
Identify the Prime Factors of 30 and 100 by Prime Factorization:
Prime Factorization of 30: 30 = 2 x 3 x 5 = 21 x 31 x 51
Prime Factorization of 100: 100 = 2 x 2 x 5 x 5 = 22 x 52
Prime Factors of 30 and 100 (collectively): 2, 3 and 5
Least Common Multiple of 30 and 100 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(30, 100) = 22 x 31 x 52
LCM(30, 100) = 4 x 3 x 25
LCM(30, 100) = 300
Least Common Multiple of 30 and 100 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
