Given Numbers: 21, 28, 32
Identify the Prime Factors of 21, 28 and 32 by Prime Factorization:
Prime Factorization of 21: 21 = 3 x 7 = 31 x 71
Prime Factorization of 28: 28 = 2 x 2 x 7 = 22 x 71
Prime Factorization of 32: 32 = 2 x 2 x 2 x 2 x 2 = 25
Prime Factors of 21, 28 and 32 (collectively): 2, 3 and 7
Least Common Multiple of 21, 28 and 32 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(21, 28, 32) = 25 x 31 x 71
LCM(21, 28, 32) = 32 x 3 x 7
LCM(21, 28, 32) = 672
Least Common Multiple of 21, 28 and 32 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.