What is the Least Common Multiple of 24338 and 24348?

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 24338 and 24348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24338 and 24348, than apply into the LCM equation.

GCF(24338,24348) = 2
LCM(24338,24348) = ( 24338 × 24348) / 2
LCM(24338,24348) = 592581624 / 2
LCM(24338,24348) = 296290812

Least Common Multiple (LCM) of 24338 and 24348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24338 and 24348. First we will calculate the prime factors of 24338 and 24348.

Prime Factorization of 24338

Prime Factorization of 24348

Now multiplying the highest exponent prime factors to calculate the LCM of 24338 and 24348.

LCM(24338,24348) = 2² × 43¹ × 283¹ × 3¹ × 2029¹
LCM(24338,24348) = 296290812