What is the Least Common Multiple of 81138 and 81144?

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 81138 and 81144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81138 and 81144, than apply into the LCM equation.

GCF(81138,81144) = 6
LCM(81138,81144) = ( 81138 × 81144) / 6
LCM(81138,81144) = 6583861872 / 6
LCM(81138,81144) = 1097310312

Least Common Multiple (LCM) of 81138 and 81144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81138 and 81144. First we will calculate the prime factors of 81138 and 81144.

Prime Factorization of 81138

Prime Factorization of 81144

Now multiplying the highest exponent prime factors to calculate the LCM of 81138 and 81144.

LCM(81138,81144) = 2³ × 3² × 13523¹ × 7² × 23¹
LCM(81138,81144) = 1097310312