What is the Least Common Multiple of 88744 and 88759?

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 88744 and 88759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88744 and 88759, than apply into the LCM equation.

GCF(88744,88759) = 1
LCM(88744,88759) = ( 88744 × 88759) / 1
LCM(88744,88759) = 7876828696 / 1
LCM(88744,88759) = 7876828696

Least Common Multiple (LCM) of 88744 and 88759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88744 and 88759. First we will calculate the prime factors of 88744 and 88759.

Prime Factorization of 88744

Prime Factorization of 88759

Now multiplying the highest exponent prime factors to calculate the LCM of 88744 and 88759.

LCM(88744,88759) = 2³ × 11093¹ × 11¹ × 8069¹
LCM(88744,88759) = 7876828696