What is the Least Common Multiple of 24339 and 24344?

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 24339 and 24344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24339 and 24344, than apply into the LCM equation.

GCF(24339,24344) = 1
LCM(24339,24344) = ( 24339 × 24344) / 1
LCM(24339,24344) = 592508616 / 1
LCM(24339,24344) = 592508616

Least Common Multiple (LCM) of 24339 and 24344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24339 and 24344. First we will calculate the prime factors of 24339 and 24344.

Prime Factorization of 24339

Prime Factorization of 24344

Now multiplying the highest exponent prime factors to calculate the LCM of 24339 and 24344.

LCM(24339,24344) = 3¹ × 7¹ × 19¹ × 61¹ × 2³ × 17¹ × 179¹
LCM(24339,24344) = 592508616