GCF and LCM Calculator Logo

What is the Least Common Multiple of 12872 and 12878?

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 12872 and 12878 is 82882808.

LCM(12872,12878) = 82882808

LCM Calculator and
and

Least Common Multiple of 12872 and 12878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12872 and 12878, than apply into the LCM equation.

GCF(12872,12878) = 2
LCM(12872,12878) = ( 12872 × 12878) / 2
LCM(12872,12878) = 165765616 / 2
LCM(12872,12878) = 82882808

Least Common Multiple (LCM) of 12872 and 12878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12872 and 12878. First we will calculate the prime factors of 12872 and 12878.

Prime Factorization of 12872

Prime factors of 12872 are 2, 1609. Prime factorization of 12872 in exponential form is:

12872 = 23 × 16091

Prime Factorization of 12878

Prime factors of 12878 are 2, 47, 137. Prime factorization of 12878 in exponential form is:

12878 = 21 × 471 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 12872 and 12878.

LCM(12872,12878) = 23 × 16091 × 471 × 1371
LCM(12872,12878) = 82882808