Given Numbers: 10, 40
Identify the Prime Factors of 10 and 40 by Prime Factorization:
Prime Factorization of 10: 10 = 2 x 5 = 21 x 51
Prime Factorization of 40: 40 = 2 x 2 x 2 x 5 = 23 x 51
Prime Factors of 10 and 40 (collectively): 2 and 5
Least Common Multiple of 10 and 40 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(10, 40) = 23 x 51
LCM(10, 40) = 8 x 5
LCM(10, 40) = 40
Note: Since 40 is a multiple of 10, it is also the Least Common Multiple (LCM) of the two given numbers
Least Common Multiple of 10 and 40 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
