What is the Least Common Multiple of 14866 and 14878?

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 14866 and 14878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14866 and 14878, than apply into the LCM equation.

GCF(14866,14878) = 2
LCM(14866,14878) = ( 14866 × 14878) / 2
LCM(14866,14878) = 221176348 / 2
LCM(14866,14878) = 110588174

Least Common Multiple (LCM) of 14866 and 14878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14866 and 14878. First we will calculate the prime factors of 14866 and 14878.

Prime Factorization of 14866

Prime Factorization of 14878

Now multiplying the highest exponent prime factors to calculate the LCM of 14866 and 14878.

LCM(14866,14878) = 2¹ × 7433¹ × 43¹ × 173¹
LCM(14866,14878) = 110588174