What is the Least Common Multiple of 81126 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 81126 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 81126 and 81144, than apply into the LCM equation.

GCF(81126,81144) = 18
LCM(81126,81144) = ( 81126 × 81144) / 18
LCM(81126,81144) = 6582888144 / 18
LCM(81126,81144) = 365716008

Least Common Multiple (LCM) of 81126 and 81144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81126 and 81144. First we will calculate the prime factors of 81126 and 81144.

Prime Factorization of 81126

Prime Factorization of 81144

Now multiplying the highest exponent prime factors to calculate the LCM of 81126 and 81144.

LCM(81126,81144) = 2³ × 3² × 4507¹ × 7² × 23¹
LCM(81126,81144) = 365716008