What is the Least Common Multiple of 79641 and 79656?

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 of 79641 and 79656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79641 and 79656, than apply into the LCM equation.

GCF(79641,79656) = 3
LCM(79641,79656) = ( 79641 × 79656) / 3
LCM(79641,79656) = 6343883496 / 3
LCM(79641,79656) = 2114627832

Least Common Multiple (LCM) of 79641 and 79656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79641 and 79656. First we will calculate the prime factors of 79641 and 79656.

Prime Factorization of 79641

Prime Factorization of 79656

Now multiplying the highest exponent prime factors to calculate the LCM of 79641 and 79656.

LCM(79641,79656) = 3² × 8849¹ × 2³ × 3319¹
LCM(79641,79656) = 2114627832