GCF and LCM Calculator Logo

What is the Least Common Multiple of 13472 and 13487?

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 13472 and 13487 is 181696864.

LCM(13472,13487) = 181696864

LCM Calculator and
and

Least Common Multiple of 13472 and 13487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13472 and 13487, than apply into the LCM equation.

GCF(13472,13487) = 1
LCM(13472,13487) = ( 13472 × 13487) / 1
LCM(13472,13487) = 181696864 / 1
LCM(13472,13487) = 181696864

Least Common Multiple (LCM) of 13472 and 13487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13472 and 13487. First we will calculate the prime factors of 13472 and 13487.

Prime Factorization of 13472

Prime factors of 13472 are 2, 421. Prime factorization of 13472 in exponential form is:

13472 = 25 × 4211

Prime Factorization of 13487

Prime factors of 13487 are 13487. Prime factorization of 13487 in exponential form is:

13487 = 134871

Now multiplying the highest exponent prime factors to calculate the LCM of 13472 and 13487.

LCM(13472,13487) = 25 × 4211 × 134871
LCM(13472,13487) = 181696864