GCF and LCM Calculator Logo

What is the Least Common Multiple of 12876 and 12894?

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 12876 and 12894 is 27670524.

LCM(12876,12894) = 27670524

LCM Calculator and
and

Least Common Multiple of 12876 and 12894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12876 and 12894, than apply into the LCM equation.

GCF(12876,12894) = 6
LCM(12876,12894) = ( 12876 × 12894) / 6
LCM(12876,12894) = 166023144 / 6
LCM(12876,12894) = 27670524

Least Common Multiple (LCM) of 12876 and 12894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12876 and 12894. First we will calculate the prime factors of 12876 and 12894.

Prime Factorization of 12876

Prime factors of 12876 are 2, 3, 29, 37. Prime factorization of 12876 in exponential form is:

12876 = 22 × 31 × 291 × 371

Prime Factorization of 12894

Prime factors of 12894 are 2, 3, 7, 307. Prime factorization of 12894 in exponential form is:

12894 = 21 × 31 × 71 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 12876 and 12894.

LCM(12876,12894) = 22 × 31 × 291 × 371 × 71 × 3071
LCM(12876,12894) = 27670524