What is the Least Common Multiple of 2676 and 2687?

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 2676 and 2687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2676 and 2687, than apply into the LCM equation.

GCF(2676,2687) = 1
LCM(2676,2687) = ( 2676 × 2687) / 1
LCM(2676,2687) = 7190412 / 1
LCM(2676,2687) = 7190412

Least Common Multiple (LCM) of 2676 and 2687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2676 and 2687. First we will calculate the prime factors of 2676 and 2687.

Prime Factorization of 2676

Prime Factorization of 2687

Now multiplying the highest exponent prime factors to calculate the LCM of 2676 and 2687.

LCM(2676,2687) = 2² × 3¹ × 223¹ × 2687¹
LCM(2676,2687) = 7190412