GCF and LCM Calculator Logo

What is the Least Common Multiple of 12918 and 12927?

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 12918 and 12927 is 55663662.

LCM(12918,12927) = 55663662

LCM Calculator and
and

Least Common Multiple of 12918 and 12927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12918 and 12927, than apply into the LCM equation.

GCF(12918,12927) = 3
LCM(12918,12927) = ( 12918 × 12927) / 3
LCM(12918,12927) = 166990986 / 3
LCM(12918,12927) = 55663662

Least Common Multiple (LCM) of 12918 and 12927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12918 and 12927. First we will calculate the prime factors of 12918 and 12927.

Prime Factorization of 12918

Prime factors of 12918 are 2, 3, 2153. Prime factorization of 12918 in exponential form is:

12918 = 21 × 31 × 21531

Prime Factorization of 12927

Prime factors of 12927 are 3, 31, 139. Prime factorization of 12927 in exponential form is:

12927 = 31 × 311 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 12918 and 12927.

LCM(12918,12927) = 21 × 31 × 21531 × 311 × 1391
LCM(12918,12927) = 55663662