What is the Least Common Multiple of 14484 and 14488?

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 14488 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 14488, than apply into the LCM equation.

GCF(14484,14488) = 4
LCM(14484,14488) = ( 14484 × 14488) / 4
LCM(14484,14488) = 209844192 / 4
LCM(14484,14488) = 52461048

Least Common Multiple (LCM) of 14484 and 14488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14484 and 14488. First we will calculate the prime factors of 14484 and 14488.

Prime Factorization of 14484

Prime Factorization of 14488

Now multiplying the highest exponent prime factors to calculate the LCM of 14484 and 14488.

LCM(14484,14488) = 2³ × 3¹ × 17¹ × 71¹ × 1811¹
LCM(14484,14488) = 52461048