What is the Least Common Multiple of 12782 and 12796?

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 12782 and 12796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12782 and 12796, than apply into the LCM equation.

GCF(12782,12796) = 14
LCM(12782,12796) = ( 12782 × 12796) / 14
LCM(12782,12796) = 163558472 / 14
LCM(12782,12796) = 11682748

Least Common Multiple (LCM) of 12782 and 12796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12782 and 12796. First we will calculate the prime factors of 12782 and 12796.

Prime Factorization of 12782

Prime Factorization of 12796

Now multiplying the highest exponent prime factors to calculate the LCM of 12782 and 12796.

LCM(12782,12796) = 2² × 7¹ × 11¹ × 83¹ × 457¹
LCM(12782,12796) = 11682748