GCF and LCM Calculator Logo

What is the Least Common Multiple of 2513 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 2513 and 2523 is 6340299.

LCM(2513,2523) = 6340299

LCM Calculator and
and

Least Common Multiple of 2513 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 2513 and 2523, than apply into the LCM equation.

GCF(2513,2523) = 1
LCM(2513,2523) = ( 2513 × 2523) / 1
LCM(2513,2523) = 6340299 / 1
LCM(2513,2523) = 6340299

Least Common Multiple (LCM) of 2513 and 2523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2513 and 2523. First we will calculate the prime factors of 2513 and 2523.

Prime Factorization of 2513

Prime factors of 2513 are 7, 359. Prime factorization of 2513 in exponential form is:

2513 = 71 × 3591

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 2513 and 2523.

LCM(2513,2523) = 71 × 3591 × 31 × 292
LCM(2513,2523) = 6340299