What is the Least Common Multiple of 2524 and 2541?

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 2524 and 2541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2524 and 2541, than apply into the LCM equation.

GCF(2524,2541) = 1
LCM(2524,2541) = ( 2524 × 2541) / 1
LCM(2524,2541) = 6413484 / 1
LCM(2524,2541) = 6413484

Least Common Multiple (LCM) of 2524 and 2541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2524 and 2541. First we will calculate the prime factors of 2524 and 2541.

Prime Factorization of 2524

Prime Factorization of 2541

Now multiplying the highest exponent prime factors to calculate the LCM of 2524 and 2541.

LCM(2524,2541) = 2² × 631¹ × 3¹ × 7¹ × 11²
LCM(2524,2541) = 6413484