What is the Least Common Multiple of 96608 and 96618?

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 96608 and 96618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96608 and 96618, than apply into the LCM equation.

GCF(96608,96618) = 2
LCM(96608,96618) = ( 96608 × 96618) / 2
LCM(96608,96618) = 9334071744 / 2
LCM(96608,96618) = 4667035872

Least Common Multiple (LCM) of 96608 and 96618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96608 and 96618. First we will calculate the prime factors of 96608 and 96618.

Prime Factorization of 96608

Prime Factorization of 96618

Now multiplying the highest exponent prime factors to calculate the LCM of 96608 and 96618.

LCM(96608,96618) = 2⁵ × 3019¹ × 3¹ × 16103¹
LCM(96608,96618) = 4667035872