What is the Least Common Multiple of 14489 and 14508?

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 14489 and 14508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14489 and 14508, than apply into the LCM equation.

GCF(14489,14508) = 1
LCM(14489,14508) = ( 14489 × 14508) / 1
LCM(14489,14508) = 210206412 / 1
LCM(14489,14508) = 210206412

Least Common Multiple (LCM) of 14489 and 14508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14489 and 14508. First we will calculate the prime factors of 14489 and 14508.

Prime Factorization of 14489

Prime Factorization of 14508

Now multiplying the highest exponent prime factors to calculate the LCM of 14489 and 14508.

LCM(14489,14508) = 14489¹ × 2² × 3² × 13¹ × 31¹
LCM(14489,14508) = 210206412