Given Numbers: 35, 70, 105
Identify the Prime Factors of 35, 70 and 105 by Prime Factorization:
Prime Factorization of 35: 35 = 5 x 7 = 51 x 71
Prime Factorization of 70: 70 = 2 x 5 x 7 = 21 x 51 x 71
Prime Factorization of 105: 105 = 3 x 5 x 7 = 31 x 51 x 71
Prime Factors of 35, 70 and 105 (collectively): 2, 3, 5 and 7
Least Common Multiple of 35, 70 and 105 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(35, 70, 105) = 21 x 31 x 51 x 71
LCM(35, 70, 105) = 2 x 3 x 5 x 7
LCM(35, 70, 105) = 210
Least Common Multiple of 35, 70 and 105 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
