GCF and LCM Calculator Logo

What is the Least Common Multiple of 13330 and 13339?

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 13330 and 13339 is 177808870.

LCM(13330,13339) = 177808870

LCM Calculator and
and

Least Common Multiple of 13330 and 13339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13330 and 13339, than apply into the LCM equation.

GCF(13330,13339) = 1
LCM(13330,13339) = ( 13330 × 13339) / 1
LCM(13330,13339) = 177808870 / 1
LCM(13330,13339) = 177808870

Least Common Multiple (LCM) of 13330 and 13339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13330 and 13339. First we will calculate the prime factors of 13330 and 13339.

Prime Factorization of 13330

Prime factors of 13330 are 2, 5, 31, 43. Prime factorization of 13330 in exponential form is:

13330 = 21 × 51 × 311 × 431

Prime Factorization of 13339

Prime factors of 13339 are 13339. Prime factorization of 13339 in exponential form is:

13339 = 133391

Now multiplying the highest exponent prime factors to calculate the LCM of 13330 and 13339.

LCM(13330,13339) = 21 × 51 × 311 × 431 × 133391
LCM(13330,13339) = 177808870