What is the Least Common Multiple of 2523 and 2538?

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 2523 and 2538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2523 and 2538, than apply into the LCM equation.

GCF(2523,2538) = 3
LCM(2523,2538) = ( 2523 × 2538) / 3
LCM(2523,2538) = 6403374 / 3
LCM(2523,2538) = 2134458

Least Common Multiple (LCM) of 2523 and 2538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2523 and 2538. First we will calculate the prime factors of 2523 and 2538.

Prime Factorization of 2523

Prime Factorization of 2538

Now multiplying the highest exponent prime factors to calculate the LCM of 2523 and 2538.

LCM(2523,2538) = 3³ × 29² × 2¹ × 47¹
LCM(2523,2538) = 2134458