What is the Least Common Multiple of 14484 and 14489?

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 14489 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 14489, than apply into the LCM equation.

GCF(14484,14489) = 1
LCM(14484,14489) = ( 14484 × 14489) / 1
LCM(14484,14489) = 209858676 / 1
LCM(14484,14489) = 209858676

Least Common Multiple (LCM) of 14484 and 14489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14484 and 14489. First we will calculate the prime factors of 14484 and 14489.

Prime Factorization of 14484

Prime Factorization of 14489

Now multiplying the highest exponent prime factors to calculate the LCM of 14484 and 14489.

LCM(14484,14489) = 2² × 3¹ × 17¹ × 71¹ × 14489¹
LCM(14484,14489) = 209858676