What is the Least Common Multiple of 12966 and 12978?

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 12966 and 12978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12966 and 12978, than apply into the LCM equation.

GCF(12966,12978) = 6
LCM(12966,12978) = ( 12966 × 12978) / 6
LCM(12966,12978) = 168272748 / 6
LCM(12966,12978) = 28045458

Least Common Multiple (LCM) of 12966 and 12978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12966 and 12978. First we will calculate the prime factors of 12966 and 12978.

Prime Factorization of 12966

Prime Factorization of 12978

Now multiplying the highest exponent prime factors to calculate the LCM of 12966 and 12978.

LCM(12966,12978) = 2¹ × 3² × 2161¹ × 7¹ × 103¹
LCM(12966,12978) = 28045458