What is the Least Common Multiple of 80904 and 80917?

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 80904 and 80917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80904 and 80917, than apply into the LCM equation.

GCF(80904,80917) = 1
LCM(80904,80917) = ( 80904 × 80917) / 1
LCM(80904,80917) = 6546508968 / 1
LCM(80904,80917) = 6546508968

Least Common Multiple (LCM) of 80904 and 80917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80904 and 80917. First we will calculate the prime factors of 80904 and 80917.

Prime Factorization of 80904

Prime Factorization of 80917

Now multiplying the highest exponent prime factors to calculate the LCM of 80904 and 80917.

LCM(80904,80917) = 2³ × 3¹ × 3371¹ × 80917¹
LCM(80904,80917) = 6546508968