What is the Least Common Multiple of 80904 and 80916?

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 80916 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 80916, than apply into the LCM equation.

GCF(80904,80916) = 12
LCM(80904,80916) = ( 80904 × 80916) / 12
LCM(80904,80916) = 6546428064 / 12
LCM(80904,80916) = 545535672

Least Common Multiple (LCM) of 80904 and 80916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80904 and 80916. First we will calculate the prime factors of 80904 and 80916.

Prime Factorization of 80904

Prime Factorization of 80916

Now multiplying the highest exponent prime factors to calculate the LCM of 80904 and 80916.

LCM(80904,80916) = 2³ × 3¹ × 3371¹ × 11¹ × 613¹
LCM(80904,80916) = 545535672