What is the Least Common Multiple of 24838 and 24856?

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 24856 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 24856, than apply into the LCM equation.

GCF(24838,24856) = 2
LCM(24838,24856) = ( 24838 × 24856) / 2
LCM(24838,24856) = 617373328 / 2
LCM(24838,24856) = 308686664

Least Common Multiple (LCM) of 24838 and 24856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24838 and 24856. First we will calculate the prime factors of 24838 and 24856.

Prime Factorization of 24838

Prime Factorization of 24856

Now multiplying the highest exponent prime factors to calculate the LCM of 24838 and 24856.

LCM(24838,24856) = 2³ × 11¹ × 1129¹ × 13¹ × 239¹
LCM(24838,24856) = 308686664