GCF and LCM Calculator Logo

What is the Least Common Multiple of 13599 and 13610?

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 13599 and 13610 is 185082390.

LCM(13599,13610) = 185082390

LCM Calculator and
and

Least Common Multiple of 13599 and 13610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13599 and 13610, than apply into the LCM equation.

GCF(13599,13610) = 1
LCM(13599,13610) = ( 13599 × 13610) / 1
LCM(13599,13610) = 185082390 / 1
LCM(13599,13610) = 185082390

Least Common Multiple (LCM) of 13599 and 13610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13599 and 13610. First we will calculate the prime factors of 13599 and 13610.

Prime Factorization of 13599

Prime factors of 13599 are 3, 1511. Prime factorization of 13599 in exponential form is:

13599 = 32 × 15111

Prime Factorization of 13610

Prime factors of 13610 are 2, 5, 1361. Prime factorization of 13610 in exponential form is:

13610 = 21 × 51 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 13599 and 13610.

LCM(13599,13610) = 32 × 15111 × 21 × 51 × 13611
LCM(13599,13610) = 185082390