What is the Least Common Multiple of 96204 and 96219?

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 96204 and 96219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96204 and 96219, than apply into the LCM equation.

GCF(96204,96219) = 3
LCM(96204,96219) = ( 96204 × 96219) / 3
LCM(96204,96219) = 9256652676 / 3
LCM(96204,96219) = 3085550892

Least Common Multiple (LCM) of 96204 and 96219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96204 and 96219. First we will calculate the prime factors of 96204 and 96219.

Prime Factorization of 96204

Prime Factorization of 96219

Now multiplying the highest exponent prime factors to calculate the LCM of 96204 and 96219.

LCM(96204,96219) = 2² × 3² × 8017¹ × 10691¹
LCM(96204,96219) = 3085550892