What is the Least Common Multiple of 2612 and 2631?

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 2612 and 2631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2612 and 2631, than apply into the LCM equation.

GCF(2612,2631) = 1
LCM(2612,2631) = ( 2612 × 2631) / 1
LCM(2612,2631) = 6872172 / 1
LCM(2612,2631) = 6872172

Least Common Multiple (LCM) of 2612 and 2631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2612 and 2631. First we will calculate the prime factors of 2612 and 2631.

Prime Factorization of 2612

Prime Factorization of 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 2612 and 2631.

LCM(2612,2631) = 2² × 653¹ × 3¹ × 877¹
LCM(2612,2631) = 6872172