What is the Least Common Multiple of 24838 and 24846?

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 24838 and 24846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24838 and 24846, than apply into the LCM equation.

GCF(24838,24846) = 2
LCM(24838,24846) = ( 24838 × 24846) / 2
LCM(24838,24846) = 617124948 / 2
LCM(24838,24846) = 308562474

Least Common Multiple (LCM) of 24838 and 24846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24838 and 24846. First we will calculate the prime factors of 24838 and 24846.

Prime Factorization of 24838

Prime Factorization of 24846

Now multiplying the highest exponent prime factors to calculate the LCM of 24838 and 24846.

LCM(24838,24846) = 2¹ × 11¹ × 1129¹ × 3¹ × 41¹ × 101¹
LCM(24838,24846) = 308562474