GCF and LCM Calculator Logo

What is the Least Common Multiple of 2516 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 2516 and 2523 is 6347868.

LCM(2516,2523) = 6347868

LCM Calculator and
and

Least Common Multiple of 2516 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 2516 and 2523, than apply into the LCM equation.

GCF(2516,2523) = 1
LCM(2516,2523) = ( 2516 × 2523) / 1
LCM(2516,2523) = 6347868 / 1
LCM(2516,2523) = 6347868

Least Common Multiple (LCM) of 2516 and 2523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2516 and 2523. First we will calculate the prime factors of 2516 and 2523.

Prime Factorization of 2516

Prime factors of 2516 are 2, 17, 37. Prime factorization of 2516 in exponential form is:

2516 = 22 × 171 × 371

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 2516 and 2523.

LCM(2516,2523) = 22 × 171 × 371 × 31 × 292
LCM(2516,2523) = 6347868