What is the Least Common Multiple of 14484 and 14493?

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 14484 and 14493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14484 and 14493, than apply into the LCM equation.

GCF(14484,14493) = 3
LCM(14484,14493) = ( 14484 × 14493) / 3
LCM(14484,14493) = 209916612 / 3
LCM(14484,14493) = 69972204

Least Common Multiple (LCM) of 14484 and 14493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14484 and 14493. First we will calculate the prime factors of 14484 and 14493.

Prime Factorization of 14484

Prime Factorization of 14493

Now multiplying the highest exponent prime factors to calculate the LCM of 14484 and 14493.

LCM(14484,14493) = 2² × 3¹ × 17¹ × 71¹ × 4831¹
LCM(14484,14493) = 69972204