What is the Least Common Multiple of 12768 and 12774?

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 12768 and 12774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12768 and 12774, than apply into the LCM equation.

GCF(12768,12774) = 6
LCM(12768,12774) = ( 12768 × 12774) / 6
LCM(12768,12774) = 163098432 / 6
LCM(12768,12774) = 27183072

Least Common Multiple (LCM) of 12768 and 12774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12768 and 12774. First we will calculate the prime factors of 12768 and 12774.

Prime Factorization of 12768

Prime Factorization of 12774

Now multiplying the highest exponent prime factors to calculate the LCM of 12768 and 12774.

LCM(12768,12774) = 2⁵ × 3¹ × 7¹ × 19¹ × 2129¹
LCM(12768,12774) = 27183072