What is the Least Common Multiple of 85494 and 85500?

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 85494 and 85500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85494 and 85500, than apply into the LCM equation.

GCF(85494,85500) = 6
LCM(85494,85500) = ( 85494 × 85500) / 6
LCM(85494,85500) = 7309737000 / 6
LCM(85494,85500) = 1218289500

Least Common Multiple (LCM) of 85494 and 85500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85494 and 85500. First we will calculate the prime factors of 85494 and 85500.

Prime Factorization of 85494

Prime Factorization of 85500

Now multiplying the highest exponent prime factors to calculate the LCM of 85494 and 85500.

LCM(85494,85500) = 2² × 3² × 14249¹ × 5³ × 19¹
LCM(85494,85500) = 1218289500