GCF and LCM Calculator Logo

What is the Least Common Multiple of 13267 and 13282?

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 13267 and 13282 is 176212294.

LCM(13267,13282) = 176212294

LCM Calculator and
and

Least Common Multiple of 13267 and 13282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13267 and 13282, than apply into the LCM equation.

GCF(13267,13282) = 1
LCM(13267,13282) = ( 13267 × 13282) / 1
LCM(13267,13282) = 176212294 / 1
LCM(13267,13282) = 176212294

Least Common Multiple (LCM) of 13267 and 13282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13267 and 13282. First we will calculate the prime factors of 13267 and 13282.

Prime Factorization of 13267

Prime factors of 13267 are 13267. Prime factorization of 13267 in exponential form is:

13267 = 132671

Prime Factorization of 13282

Prime factors of 13282 are 2, 29, 229. Prime factorization of 13282 in exponential form is:

13282 = 21 × 291 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 13267 and 13282.

LCM(13267,13282) = 132671 × 21 × 291 × 2291
LCM(13267,13282) = 176212294