GCF and LCM Calculator Logo

What is the Least Common Multiple of 12891 and 12910?

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 12891 and 12910 is 166422810.

LCM(12891,12910) = 166422810

LCM Calculator and
and

Least Common Multiple of 12891 and 12910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12891 and 12910, than apply into the LCM equation.

GCF(12891,12910) = 1
LCM(12891,12910) = ( 12891 × 12910) / 1
LCM(12891,12910) = 166422810 / 1
LCM(12891,12910) = 166422810

Least Common Multiple (LCM) of 12891 and 12910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12891 and 12910. First we will calculate the prime factors of 12891 and 12910.

Prime Factorization of 12891

Prime factors of 12891 are 3, 4297. Prime factorization of 12891 in exponential form is:

12891 = 31 × 42971

Prime Factorization of 12910

Prime factors of 12910 are 2, 5, 1291. Prime factorization of 12910 in exponential form is:

12910 = 21 × 51 × 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 12891 and 12910.

LCM(12891,12910) = 31 × 42971 × 21 × 51 × 12911
LCM(12891,12910) = 166422810