Given Numbers: 5, 10, 15, 20, 25, 30, 35
Identify the Prime Factors of 5, 10, 15, 20, 25, 30 and 35 by Prime Factorization:
Prime Factorization of 5: 5 = 51 (prime number)
Prime Factorization of 10: 10 = 2 x 5 = 21 x 51
Prime Factorization of 15: 15 = 3 x 5 = 31 x 51
Prime Factorization of 20: 20 = 2 x 2 x 5 = 22 x 51
Prime Factorization of 25: 25 = 5 x 5 = 52
Prime Factorization of 30: 30 = 2 x 3 x 5 = 21 x 31 x 51
Prime Factorization of 35: 35 = 5 x 7 = 51 x 71
Prime Factors of 5, 10, 15, 20, 25, 30 and 35 (collectively): 2, 3, 5 and 7
Least Common Multiple of 5, 10, 15, 20, 25, 30 and 35 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(5, 10, 15, 20, 25, 30, 35) = 22 x 31 x 52 x 71
LCM(5, 10, 15, 20, 25, 30, 35) = 4 x 3 x 25 x 7
LCM(5, 10, 15, 20, 25, 30, 35) = 2,100
Least Common Multiple of 5, 10, 15, 20, 25, 30 and 35 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
