GCF and LCM Calculator Logo

What is the Least Common Multiple of 13431 and 13439?

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 13431 and 13439 is 180499209.

LCM(13431,13439) = 180499209

LCM Calculator and
and

Least Common Multiple of 13431 and 13439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13431 and 13439, than apply into the LCM equation.

GCF(13431,13439) = 1
LCM(13431,13439) = ( 13431 × 13439) / 1
LCM(13431,13439) = 180499209 / 1
LCM(13431,13439) = 180499209

Least Common Multiple (LCM) of 13431 and 13439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13431 and 13439. First we will calculate the prime factors of 13431 and 13439.

Prime Factorization of 13431

Prime factors of 13431 are 3, 11, 37. Prime factorization of 13431 in exponential form is:

13431 = 31 × 112 × 371

Prime Factorization of 13439

Prime factors of 13439 are 89, 151. Prime factorization of 13439 in exponential form is:

13439 = 891 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 13431 and 13439.

LCM(13431,13439) = 31 × 112 × 371 × 891 × 1511
LCM(13431,13439) = 180499209