What is the Least Common Multiple of 24834 and 24847?

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 24834 and 24847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24834 and 24847, than apply into the LCM equation.

GCF(24834,24847) = 1
LCM(24834,24847) = ( 24834 × 24847) / 1
LCM(24834,24847) = 617050398 / 1
LCM(24834,24847) = 617050398

Least Common Multiple (LCM) of 24834 and 24847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24834 and 24847. First we will calculate the prime factors of 24834 and 24847.

Prime Factorization of 24834

Prime Factorization of 24847

Now multiplying the highest exponent prime factors to calculate the LCM of 24834 and 24847.

LCM(24834,24847) = 2¹ × 3¹ × 4139¹ × 24847¹
LCM(24834,24847) = 617050398