What is the Least Common Multiple of 86004 and 86012?

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 86004 and 86012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86004 and 86012, than apply into the LCM equation.

GCF(86004,86012) = 4
LCM(86004,86012) = ( 86004 × 86012) / 4
LCM(86004,86012) = 7397376048 / 4
LCM(86004,86012) = 1849344012

Least Common Multiple (LCM) of 86004 and 86012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86004 and 86012. First we will calculate the prime factors of 86004 and 86012.

Prime Factorization of 86004

Prime Factorization of 86012

Now multiplying the highest exponent prime factors to calculate the LCM of 86004 and 86012.

LCM(86004,86012) = 2² × 3² × 2389¹ × 21503¹
LCM(86004,86012) = 1849344012