GCF and LCM Calculator Logo

What is the Least Common Multiple of 12746 and 12759?

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 12746 and 12759 is 162626214.

LCM(12746,12759) = 162626214

LCM Calculator and
and

Least Common Multiple of 12746 and 12759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12746 and 12759, than apply into the LCM equation.

GCF(12746,12759) = 1
LCM(12746,12759) = ( 12746 × 12759) / 1
LCM(12746,12759) = 162626214 / 1
LCM(12746,12759) = 162626214

Least Common Multiple (LCM) of 12746 and 12759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12746 and 12759. First we will calculate the prime factors of 12746 and 12759.

Prime Factorization of 12746

Prime factors of 12746 are 2, 6373. Prime factorization of 12746 in exponential form is:

12746 = 21 × 63731

Prime Factorization of 12759

Prime factors of 12759 are 3, 4253. Prime factorization of 12759 in exponential form is:

12759 = 31 × 42531

Now multiplying the highest exponent prime factors to calculate the LCM of 12746 and 12759.

LCM(12746,12759) = 21 × 63731 × 31 × 42531
LCM(12746,12759) = 162626214