What is the Least Common Multiple of 2564 and 2572?

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 2572 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 2572, than apply into the LCM equation.

GCF(2564,2572) = 4
LCM(2564,2572) = ( 2564 × 2572) / 4
LCM(2564,2572) = 6594608 / 4
LCM(2564,2572) = 1648652

Least Common Multiple (LCM) of 2564 and 2572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2564 and 2572. First we will calculate the prime factors of 2564 and 2572.

Prime Factorization of 2564

Prime Factorization of 2572

Now multiplying the highest exponent prime factors to calculate the LCM of 2564 and 2572.

LCM(2564,2572) = 2² × 641¹ × 643¹
LCM(2564,2572) = 1648652