What is the Least Common Multiple of 86484 and 86500?

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 86484 and 86500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86484 and 86500, than apply into the LCM equation.

GCF(86484,86500) = 4
LCM(86484,86500) = ( 86484 × 86500) / 4
LCM(86484,86500) = 7480866000 / 4
LCM(86484,86500) = 1870216500

Least Common Multiple (LCM) of 86484 and 86500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86484 and 86500. First we will calculate the prime factors of 86484 and 86500.

Prime Factorization of 86484

Prime Factorization of 86500

Now multiplying the highest exponent prime factors to calculate the LCM of 86484 and 86500.

LCM(86484,86500) = 2² × 3¹ × 7207¹ × 5³ × 173¹
LCM(86484,86500) = 1870216500