What is the Least Common Multiple of 23329 and 23344?

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 23329 and 23344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23329 and 23344, than apply into the LCM equation.

GCF(23329,23344) = 1
LCM(23329,23344) = ( 23329 × 23344) / 1
LCM(23329,23344) = 544592176 / 1
LCM(23329,23344) = 544592176

Least Common Multiple (LCM) of 23329 and 23344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23329 and 23344. First we will calculate the prime factors of 23329 and 23344.

Prime Factorization of 23329

Prime Factorization of 23344

Now multiplying the highest exponent prime factors to calculate the LCM of 23329 and 23344.

LCM(23329,23344) = 41¹ × 569¹ × 2⁴ × 1459¹
LCM(23329,23344) = 544592176