What is the Least Common Multiple of 12774 and 12794?

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 12774 and 12794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12774 and 12794, than apply into the LCM equation.

GCF(12774,12794) = 2
LCM(12774,12794) = ( 12774 × 12794) / 2
LCM(12774,12794) = 163430556 / 2
LCM(12774,12794) = 81715278

Least Common Multiple (LCM) of 12774 and 12794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12774 and 12794. First we will calculate the prime factors of 12774 and 12794.

Prime Factorization of 12774

Prime Factorization of 12794

Now multiplying the highest exponent prime factors to calculate the LCM of 12774 and 12794.

LCM(12774,12794) = 2¹ × 3¹ × 2129¹ × 6397¹
LCM(12774,12794) = 81715278