What is the Least Common Multiple of 79616 and 79631?

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 79616 and 79631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79616 and 79631, than apply into the LCM equation.

GCF(79616,79631) = 1
LCM(79616,79631) = ( 79616 × 79631) / 1
LCM(79616,79631) = 6339901696 / 1
LCM(79616,79631) = 6339901696

Least Common Multiple (LCM) of 79616 and 79631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79616 and 79631. First we will calculate the prime factors of 79616 and 79631.

Prime Factorization of 79616

Prime Factorization of 79631

Now multiplying the highest exponent prime factors to calculate the LCM of 79616 and 79631.

LCM(79616,79631) = 2⁸ × 311¹ × 79631¹
LCM(79616,79631) = 6339901696