What is the Least Common Multiple of 6876 and 6894?

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 6876 and 6894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6876 and 6894, than apply into the LCM equation.

GCF(6876,6894) = 18
LCM(6876,6894) = ( 6876 × 6894) / 18
LCM(6876,6894) = 47403144 / 18
LCM(6876,6894) = 2633508

Least Common Multiple (LCM) of 6876 and 6894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6876 and 6894. First we will calculate the prime factors of 6876 and 6894.

Prime Factorization of 6876

Prime Factorization of 6894

Now multiplying the highest exponent prime factors to calculate the LCM of 6876 and 6894.

LCM(6876,6894) = 2² × 3² × 191¹ × 383¹
LCM(6876,6894) = 2633508