Given Numbers: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Identify the Prime Factors of 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20 by Prime Factorization:
Prime Factorization of 2: 2 = 21 (prime number)
Prime Factorization of 4: 4 = 2 x 2 = 22
Prime Factorization of 6: 6 = 2 x 3 = 21 x 31
Prime Factorization of 8: 8 = 2 x 2 x 2 = 23
Prime Factorization of 10: 10 = 2 x 5 = 21 x 51
Prime Factorization of 12: 12 = 2 x 2 x 3 = 22 x 31
Prime Factorization of 14: 14 = 2 x 7 = 21 x 71
Prime Factorization of 16: 16 = 2 x 2 x 2 x 2 = 24
Prime Factorization of 18: 18 = 2 x 3 x 3 = 21 x 32
Prime Factorization of 20: 20 = 2 x 2 x 5 = 22 x 51
Prime Factors of 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20 (collectively): 2, 3, 5 and 7
Least Common Multiple of 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(2, 4, 6, 8, 10, 12, 14, 16, 18, 20) = 24 x 32 x 51 x 71
LCM(2, 4, 6, 8, 10, 12, 14, 16, 18, 20) = 16 x 9 x 5 x 7
LCM(2, 4, 6, 8, 10, 12, 14, 16, 18, 20) = 5,040
Least Common Multiple of 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
