What is the Least Common Multiple of 80792 and 80810?

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 80792 and 80810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80792 and 80810, than apply into the LCM equation.

GCF(80792,80810) = 2
LCM(80792,80810) = ( 80792 × 80810) / 2
LCM(80792,80810) = 6528801520 / 2
LCM(80792,80810) = 3264400760

Least Common Multiple (LCM) of 80792 and 80810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80792 and 80810. First we will calculate the prime factors of 80792 and 80810.

Prime Factorization of 80792

Prime Factorization of 80810

Now multiplying the highest exponent prime factors to calculate the LCM of 80792 and 80810.

LCM(80792,80810) = 2³ × 10099¹ × 5¹ × 8081¹
LCM(80792,80810) = 3264400760