What is the Least Common Multiple of 18492 and 18500?

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 18492 and 18500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18492 and 18500, than apply into the LCM equation.

GCF(18492,18500) = 4
LCM(18492,18500) = ( 18492 × 18500) / 4
LCM(18492,18500) = 342102000 / 4
LCM(18492,18500) = 85525500

Least Common Multiple (LCM) of 18492 and 18500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18492 and 18500. First we will calculate the prime factors of 18492 and 18500.

Prime Factorization of 18492

Prime Factorization of 18500

Now multiplying the highest exponent prime factors to calculate the LCM of 18492 and 18500.

LCM(18492,18500) = 2² × 3¹ × 23¹ × 67¹ × 5³ × 37¹
LCM(18492,18500) = 85525500