Given Numbers: 4, 9, 16, 25, 36, 49, 64, 81, 100
Identify the Prime Factors of 4, 9, 16, 25, 36, 49, 64, 81 and 100 by Prime Factorization:
Prime Factorization of 4: 4 = 2 x 2 = 22
Prime Factorization of 9: 9 = 3 x 3 = 32
Prime Factorization of 16: 16 = 2 x 2 x 2 x 2 = 24
Prime Factorization of 25: 25 = 5 x 5 = 52
Prime Factorization of 36: 36 = 2 x 2 x 3 x 3 = 22 x 32
Prime Factorization of 49: 49 = 7 x 7 = 72
Prime Factorization of 64: 64 = 2 x 2 x 2 x 2 x 2 x 2 = 26
Prime Factorization of 81: 81 = 3 x 3 x 3 x 3 = 34
Prime Factorization of 100: 100 = 2 x 2 x 5 x 5 = 22 x 52
Prime Factors of 4, 9, 16, 25, 36, 49, 64, 81 and 100 (collectively): 2, 3, 5 and 7
Least Common Multiple of 4, 9, 16, 25, 36, 49, 64, 81 and 100 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(4, 9, 16, 25, 36, 49, 64, 81, 100) = 26 x 34 x 52 x 72
LCM(4, 9, 16, 25, 36, 49, 64, 81, 100) = 64 x 81 x 25 x 49
LCM(4, 9, 16, 25, 36, 49, 64, 81, 100) = 6,350,400
Least Common Multiple of 4, 9, 16, 25, 36, 49, 64, 81 and 100 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
