What is the Least Common Multiple of 14566 and 14584?

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 14566 and 14584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14566 and 14584, than apply into the LCM equation.

GCF(14566,14584) = 2
LCM(14566,14584) = ( 14566 × 14584) / 2
LCM(14566,14584) = 212430544 / 2
LCM(14566,14584) = 106215272

Least Common Multiple (LCM) of 14566 and 14584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14566 and 14584. First we will calculate the prime factors of 14566 and 14584.

Prime Factorization of 14566

Prime Factorization of 14584

Now multiplying the highest exponent prime factors to calculate the LCM of 14566 and 14584.

LCM(14566,14584) = 2³ × 7283¹ × 1823¹
LCM(14566,14584) = 106215272