What is the Least Common Multiple of 88605 and 88618?

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 88605 and 88618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88605 and 88618, than apply into the LCM equation.

GCF(88605,88618) = 1
LCM(88605,88618) = ( 88605 × 88618) / 1
LCM(88605,88618) = 7851997890 / 1
LCM(88605,88618) = 7851997890

Least Common Multiple (LCM) of 88605 and 88618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88605 and 88618. First we will calculate the prime factors of 88605 and 88618.

Prime Factorization of 88605

Prime Factorization of 88618

Now multiplying the highest exponent prime factors to calculate the LCM of 88605 and 88618.

LCM(88605,88618) = 3² × 5¹ × 11¹ × 179¹ × 2¹ × 59¹ × 751¹
LCM(88605,88618) = 7851997890