GCF and LCM Calculator Logo

What is the Least Common Multiple of 13513 and 13523?

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 13513 and 13523 is 182736299.

LCM(13513,13523) = 182736299

LCM Calculator and
and

Least Common Multiple of 13513 and 13523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13513 and 13523, than apply into the LCM equation.

GCF(13513,13523) = 1
LCM(13513,13523) = ( 13513 × 13523) / 1
LCM(13513,13523) = 182736299 / 1
LCM(13513,13523) = 182736299

Least Common Multiple (LCM) of 13513 and 13523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13513 and 13523. First we will calculate the prime factors of 13513 and 13523.

Prime Factorization of 13513

Prime factors of 13513 are 13513. Prime factorization of 13513 in exponential form is:

13513 = 135131

Prime Factorization of 13523

Prime factors of 13523 are 13523. Prime factorization of 13523 in exponential form is:

13523 = 135231

Now multiplying the highest exponent prime factors to calculate the LCM of 13513 and 13523.

LCM(13513,13523) = 135131 × 135231
LCM(13513,13523) = 182736299