GCF and LCM Calculator Logo

What is the Least Common Multiple of 13481 and 13495?

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 13481 and 13495 is 181926095.

LCM(13481,13495) = 181926095

LCM Calculator and
and

Least Common Multiple of 13481 and 13495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13481 and 13495, than apply into the LCM equation.

GCF(13481,13495) = 1
LCM(13481,13495) = ( 13481 × 13495) / 1
LCM(13481,13495) = 181926095 / 1
LCM(13481,13495) = 181926095

Least Common Multiple (LCM) of 13481 and 13495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13481 and 13495. First we will calculate the prime factors of 13481 and 13495.

Prime Factorization of 13481

Prime factors of 13481 are 13, 17, 61. Prime factorization of 13481 in exponential form is:

13481 = 131 × 171 × 611

Prime Factorization of 13495

Prime factors of 13495 are 5, 2699. Prime factorization of 13495 in exponential form is:

13495 = 51 × 26991

Now multiplying the highest exponent prime factors to calculate the LCM of 13481 and 13495.

LCM(13481,13495) = 131 × 171 × 611 × 51 × 26991
LCM(13481,13495) = 181926095