What is the Least Common Multiple of 656 and 665?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 656 and 665 is 436240.
LCM(656,665) = 436240
Least Common Multiple of 656 and 665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 656 and 665, than apply into the LCM equation.
GCF(656,665) = 1
LCM(656,665) = ( 656 × 665) / 1
LCM(656,665) = 436240 / 1
LCM(656,665) = 436240
Least Common Multiple (LCM) of 656 and 665 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 656 and 665. First we will calculate the prime factors of 656 and 665.
Prime Factorization of 656
Prime factors of 656 are 2, 41. Prime factorization of 656 in exponential form is:
656 = 24 × 411
Prime Factorization of 665
Prime factors of 665 are 5, 7, 19. Prime factorization of 665 in exponential form is:
665 = 51 × 71 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 656 and 665.
LCM(656,665) = 24 × 411 × 51 × 71 × 191
LCM(656,665) = 436240
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