GCF and LCM Calculator Logo

What is the Least Common Multiple of 2511 and 2523?

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 (LCM) of 2511 and 2523 is 2111751.

LCM(2511,2523) = 2111751

LCM Calculator and
and

Least Common Multiple of 2511 and 2523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2511 and 2523, than apply into the LCM equation.

GCF(2511,2523) = 3
LCM(2511,2523) = ( 2511 × 2523) / 3
LCM(2511,2523) = 6335253 / 3
LCM(2511,2523) = 2111751

Least Common Multiple (LCM) of 2511 and 2523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2511 and 2523. First we will calculate the prime factors of 2511 and 2523.

Prime Factorization of 2511

Prime factors of 2511 are 3, 31. Prime factorization of 2511 in exponential form is:

2511 = 34 × 311

Prime Factorization of 2523

Prime factors of 2523 are 3, 29. Prime factorization of 2523 in exponential form is:

2523 = 31 × 292

Now multiplying the highest exponent prime factors to calculate the LCM of 2511 and 2523.

LCM(2511,2523) = 34 × 311 × 292
LCM(2511,2523) = 2111751