Given Numbers: 2, 3, 4, 5, 6, 7, 8, 9, 10
Identify the Prime Factors of 2, 3, 4, 5, 6, 7, 8, 9 and 10 by Prime Factorization:
Prime Factorization of 2: 2 = 21 (prime number)
Prime Factorization of 3: 3 = 31 (prime number)
Prime Factorization of 4: 4 = 2 x 2 = 22
Prime Factorization of 5: 5 = 51 (prime number)
Prime Factorization of 6: 6 = 2 x 3 = 21 x 31
Prime Factorization of 7: 7 = 71 (prime number)
Prime Factorization of 8: 8 = 2 x 2 x 2 = 23
Prime Factorization of 9: 9 = 3 x 3 = 32
Prime Factorization of 10: 10 = 2 x 5 = 21 x 51
Prime Factors of 2, 3, 4, 5, 6, 7, 8, 9 and 10 (collectively): 2, 3, 5 and 7
Least Common Multiple of 2, 3, 4, 5, 6, 7, 8, 9 and 10 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(2, 3, 4, 5, 6, 7, 8, 9, 10) = 23 x 32 x 51 x 71
LCM(2, 3, 4, 5, 6, 7, 8, 9, 10) = 8 x 9 x 5 x 7
LCM(2, 3, 4, 5, 6, 7, 8, 9, 10) = 2,520
Least Common Multiple of 2, 3, 4, 5, 6, 7, 8, 9 and 10 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
