What is the Least Common Multiple of 81120 and 81126?

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 81120 and 81126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81120 and 81126, than apply into the LCM equation.

GCF(81120,81126) = 6
LCM(81120,81126) = ( 81120 × 81126) / 6
LCM(81120,81126) = 6580941120 / 6
LCM(81120,81126) = 1096823520

Least Common Multiple (LCM) of 81120 and 81126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81120 and 81126. First we will calculate the prime factors of 81120 and 81126.

Prime Factorization of 81120

Prime Factorization of 81126

Now multiplying the highest exponent prime factors to calculate the LCM of 81120 and 81126.

LCM(81120,81126) = 2⁵ × 3² × 5¹ × 13² × 4507¹
LCM(81120,81126) = 1096823520