What is the Least Common Multiple of 85992 and 86004?

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 85992 and 86004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85992 and 86004, than apply into the LCM equation.

GCF(85992,86004) = 12
LCM(85992,86004) = ( 85992 × 86004) / 12
LCM(85992,86004) = 7395655968 / 12
LCM(85992,86004) = 616304664

Least Common Multiple (LCM) of 85992 and 86004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85992 and 86004. First we will calculate the prime factors of 85992 and 86004.

Prime Factorization of 85992

Prime Factorization of 86004

Now multiplying the highest exponent prime factors to calculate the LCM of 85992 and 86004.

LCM(85992,86004) = 2³ × 3² × 3583¹ × 2389¹
LCM(85992,86004) = 616304664