What is the Least Common Multiple of 2541 and 2549?

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 2541 and 2549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2541 and 2549, than apply into the LCM equation.

GCF(2541,2549) = 1
LCM(2541,2549) = ( 2541 × 2549) / 1
LCM(2541,2549) = 6477009 / 1
LCM(2541,2549) = 6477009

Least Common Multiple (LCM) of 2541 and 2549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2541 and 2549. First we will calculate the prime factors of 2541 and 2549.

Prime Factorization of 2541

Prime Factorization of 2549

Now multiplying the highest exponent prime factors to calculate the LCM of 2541 and 2549.

LCM(2541,2549) = 3¹ × 7¹ × 11² × 2549¹
LCM(2541,2549) = 6477009