GCF and LCM Calculator Logo

What is the Least Common Multiple of 13279 and 13283?

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 13279 and 13283 is 176384957.

LCM(13279,13283) = 176384957

LCM Calculator and
and

Least Common Multiple of 13279 and 13283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13279 and 13283, than apply into the LCM equation.

GCF(13279,13283) = 1
LCM(13279,13283) = ( 13279 × 13283) / 1
LCM(13279,13283) = 176384957 / 1
LCM(13279,13283) = 176384957

Least Common Multiple (LCM) of 13279 and 13283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13279 and 13283. First we will calculate the prime factors of 13279 and 13283.

Prime Factorization of 13279

Prime factors of 13279 are 7, 271. Prime factorization of 13279 in exponential form is:

13279 = 72 × 2711

Prime Factorization of 13283

Prime factors of 13283 are 37, 359. Prime factorization of 13283 in exponential form is:

13283 = 371 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 13279 and 13283.

LCM(13279,13283) = 72 × 2711 × 371 × 3591
LCM(13279,13283) = 176384957