Given Numbers: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Identify the Prime Factors of 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60 by Prime Factorization:
Prime Factorization of 6: 6 = 2 x 3 = 21 x 31
Prime Factorization of 12: 12 = 2 x 2 x 3 = 22 x 31
Prime Factorization of 18: 18 = 2 x 3 x 3 = 21 x 32
Prime Factorization of 24: 24 = 2 x 2 x 2 x 3 = 23 x 31
Prime Factorization of 30: 30 = 2 x 3 x 5 = 21 x 31 x 51
Prime Factorization of 36: 36 = 2 x 2 x 3 x 3 = 22 x 32
Prime Factorization of 42: 42 = 2 x 3 x 7 = 21 x 31 x 71
Prime Factorization of 48: 48 = 2 x 2 x 2 x 2 x 3 = 24 x 31
Prime Factorization of 54: 54 = 2 x 3 x 3 x 3 = 21 x 33
Prime Factorization of 60: 60 = 2 x 2 x 3 x 5 = 22 x 31 x 51
Prime Factors of 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60 (collectively): 2, 3, 5 and 7
Least Common Multiple of 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(6, 12, 18, 24, 30, 36, 42, 48, 54, 60) = 24 x 33 x 51 x 71
LCM(6, 12, 18, 24, 30, 36, 42, 48, 54, 60) = 16 x 27 x 5 x 7
LCM(6, 12, 18, 24, 30, 36, 42, 48, 54, 60) = 15,120
Least Common Multiple of 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
