What is the Least Common Multiple of 86004 and 86020?

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 86020 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 86020, than apply into the LCM equation.

GCF(86004,86020) = 4
LCM(86004,86020) = ( 86004 × 86020) / 4
LCM(86004,86020) = 7398064080 / 4
LCM(86004,86020) = 1849516020

Least Common Multiple (LCM) of 86004 and 86020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86004 and 86020. First we will calculate the prime factors of 86004 and 86020.

Prime Factorization of 86004

Prime Factorization of 86020

Now multiplying the highest exponent prime factors to calculate the LCM of 86004 and 86020.

LCM(86004,86020) = 2² × 3² × 2389¹ × 5¹ × 11¹ × 17¹ × 23¹
LCM(86004,86020) = 1849516020