What is the Least Common Multiple of 2500 and 2511?

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 2500 and 2511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2500 and 2511, than apply into the LCM equation.

GCF(2500,2511) = 1
LCM(2500,2511) = ( 2500 × 2511) / 1
LCM(2500,2511) = 6277500 / 1
LCM(2500,2511) = 6277500

Least Common Multiple (LCM) of 2500 and 2511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2500 and 2511. First we will calculate the prime factors of 2500 and 2511.

Prime Factorization of 2500

Prime Factorization of 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 2500 and 2511.

LCM(2500,2511) = 2² × 5⁴ × 3⁴ × 31¹
LCM(2500,2511) = 6277500