What is the Least Common Multiple of 87204 and 87219?

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 87204 and 87219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87204 and 87219, than apply into the LCM equation.

GCF(87204,87219) = 3
LCM(87204,87219) = ( 87204 × 87219) / 3
LCM(87204,87219) = 7605845676 / 3
LCM(87204,87219) = 2535281892

Least Common Multiple (LCM) of 87204 and 87219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87204 and 87219. First we will calculate the prime factors of 87204 and 87219.

Prime Factorization of 87204

Prime Factorization of 87219

Now multiplying the highest exponent prime factors to calculate the LCM of 87204 and 87219.

LCM(87204,87219) = 2² × 3² × 13² × 43¹ × 11¹ × 881¹
LCM(87204,87219) = 2535281892