What is the Least Common Multiple of 80876 and 80894?

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 80876 and 80894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80876 and 80894, than apply into the LCM equation.

GCF(80876,80894) = 2
LCM(80876,80894) = ( 80876 × 80894) / 2
LCM(80876,80894) = 6542383144 / 2
LCM(80876,80894) = 3271191572

Least Common Multiple (LCM) of 80876 and 80894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80876 and 80894. First we will calculate the prime factors of 80876 and 80894.

Prime Factorization of 80876

Prime Factorization of 80894

Now multiplying the highest exponent prime factors to calculate the LCM of 80876 and 80894.

LCM(80876,80894) = 2² × 20219¹ × 11¹ × 3677¹
LCM(80876,80894) = 3271191572