What is the Least Common Multiple of 24891 and 24897?

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 24891 and 24897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24891 and 24897, than apply into the LCM equation.

GCF(24891,24897) = 3
LCM(24891,24897) = ( 24891 × 24897) / 3
LCM(24891,24897) = 619711227 / 3
LCM(24891,24897) = 206570409

Least Common Multiple (LCM) of 24891 and 24897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24891 and 24897. First we will calculate the prime factors of 24891 and 24897.

Prime Factorization of 24891

Prime Factorization of 24897

Now multiplying the highest exponent prime factors to calculate the LCM of 24891 and 24897.

LCM(24891,24897) = 3¹ × 8297¹ × 43¹ × 193¹
LCM(24891,24897) = 206570409