What is the Least Common Multiple of 24823 and 24838?

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 24823 and 24838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24823 and 24838, than apply into the LCM equation.

GCF(24823,24838) = 1
LCM(24823,24838) = ( 24823 × 24838) / 1
LCM(24823,24838) = 616553674 / 1
LCM(24823,24838) = 616553674

Least Common Multiple (LCM) of 24823 and 24838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24823 and 24838. First we will calculate the prime factors of 24823 and 24838.

Prime Factorization of 24823

Prime Factorization of 24838

Now multiplying the highest exponent prime factors to calculate the LCM of 24823 and 24838.

LCM(24823,24838) = 103¹ × 241¹ × 2¹ × 11¹ × 1129¹
LCM(24823,24838) = 616553674