What is the Least Common Multiple of 85992 and 86007?

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 86007 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 86007, than apply into the LCM equation.

GCF(85992,86007) = 3
LCM(85992,86007) = ( 85992 × 86007) / 3
LCM(85992,86007) = 7395913944 / 3
LCM(85992,86007) = 2465304648

Least Common Multiple (LCM) of 85992 and 86007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85992 and 86007. First we will calculate the prime factors of 85992 and 86007.

Prime Factorization of 85992

Prime Factorization of 86007

Now multiplying the highest exponent prime factors to calculate the LCM of 85992 and 86007.

LCM(85992,86007) = 2³ × 3¹ × 3583¹ × 28669¹
LCM(85992,86007) = 2465304648