What is the Least Common Multiple of 12792 and 12806?

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 of 12792 and 12806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12792 and 12806, than apply into the LCM equation.

GCF(12792,12806) = 2
LCM(12792,12806) = ( 12792 × 12806) / 2
LCM(12792,12806) = 163814352 / 2
LCM(12792,12806) = 81907176

Least Common Multiple (LCM) of 12792 and 12806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12792 and 12806. First we will calculate the prime factors of 12792 and 12806.

Prime Factorization of 12792

Prime Factorization of 12806

Now multiplying the highest exponent prime factors to calculate the LCM of 12792 and 12806.

LCM(12792,12806) = 2³ × 3¹ × 13¹ × 41¹ × 19¹ × 337¹
LCM(12792,12806) = 81907176