What is the Least Common Multiple of 2536 and 2552?

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 2536 and 2552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2536 and 2552, than apply into the LCM equation.

GCF(2536,2552) = 8
LCM(2536,2552) = ( 2536 × 2552) / 8
LCM(2536,2552) = 6471872 / 8
LCM(2536,2552) = 808984

Least Common Multiple (LCM) of 2536 and 2552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2536 and 2552. First we will calculate the prime factors of 2536 and 2552.

Prime Factorization of 2536

Prime Factorization of 2552

Now multiplying the highest exponent prime factors to calculate the LCM of 2536 and 2552.

LCM(2536,2552) = 2³ × 317¹ × 11¹ × 29¹
LCM(2536,2552) = 808984