What is the Least Common Multiple of 2564 and 2568?

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 2564 and 2568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2564 and 2568, than apply into the LCM equation.

GCF(2564,2568) = 4
LCM(2564,2568) = ( 2564 × 2568) / 4
LCM(2564,2568) = 6584352 / 4
LCM(2564,2568) = 1646088

Least Common Multiple (LCM) of 2564 and 2568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2564 and 2568. First we will calculate the prime factors of 2564 and 2568.

Prime Factorization of 2564

Prime Factorization of 2568

Now multiplying the highest exponent prime factors to calculate the LCM of 2564 and 2568.

LCM(2564,2568) = 2³ × 641¹ × 3¹ × 107¹
LCM(2564,2568) = 1646088