What is the Least Common Multiple of 14674 and 14678?

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 14674 and 14678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14674 and 14678, than apply into the LCM equation.

GCF(14674,14678) = 2
LCM(14674,14678) = ( 14674 × 14678) / 2
LCM(14674,14678) = 215384972 / 2
LCM(14674,14678) = 107692486

Least Common Multiple (LCM) of 14674 and 14678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14674 and 14678. First we will calculate the prime factors of 14674 and 14678.

Prime Factorization of 14674

Prime Factorization of 14678

Now multiplying the highest exponent prime factors to calculate the LCM of 14674 and 14678.

LCM(14674,14678) = 2¹ × 11¹ × 23¹ × 29¹ × 41¹ × 179¹
LCM(14674,14678) = 107692486