What is the Least Common Multiple of 80916 and 80931?

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 80916 and 80931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80916 and 80931, than apply into the LCM equation.

GCF(80916,80931) = 3
LCM(80916,80931) = ( 80916 × 80931) / 3
LCM(80916,80931) = 6548612796 / 3
LCM(80916,80931) = 2182870932

Least Common Multiple (LCM) of 80916 and 80931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80916 and 80931. First we will calculate the prime factors of 80916 and 80931.

Prime Factorization of 80916

Prime Factorization of 80931

Now multiplying the highest exponent prime factors to calculate the LCM of 80916 and 80931.

LCM(80916,80931) = 2² × 3¹ × 11¹ × 613¹ × 53¹ × 509¹
LCM(80916,80931) = 2182870932