What is the Least Common Multiple of 14678 and 14684?

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 14678 and 14684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14678 and 14684, than apply into the LCM equation.

GCF(14678,14684) = 2
LCM(14678,14684) = ( 14678 × 14684) / 2
LCM(14678,14684) = 215531752 / 2
LCM(14678,14684) = 107765876

Least Common Multiple (LCM) of 14678 and 14684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14678 and 14684. First we will calculate the prime factors of 14678 and 14684.

Prime Factorization of 14678

Prime Factorization of 14684

Now multiplying the highest exponent prime factors to calculate the LCM of 14678 and 14684.

LCM(14678,14684) = 2² × 41¹ × 179¹ × 3671¹
LCM(14678,14684) = 107765876