Identify the Prime Factors of 75 and 105 by Prime Factorization:
Prime Factorization of 75: 75 = 3 x 5 x 5 = 31 x 52
Prime Factorization of 105: 105 = 3 x 5 x 7 = 31 x 51 x 71
Prime Factors of 75 and 105: 3, 5 and 7
Least Common Multiple of 75 and 105 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(75,105) = 31 x 52 x 71
LCM(75,105) = 3 x 25 x 7
LCM(75,105) = 525
Least Common Multiple of 75 and 105 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.