What is the Least Common Multiple of 24891 and 24909?

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 24909 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 24909, than apply into the LCM equation.

GCF(24891,24909) = 3
LCM(24891,24909) = ( 24891 × 24909) / 3
LCM(24891,24909) = 620009919 / 3
LCM(24891,24909) = 206669973

Least Common Multiple (LCM) of 24891 and 24909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24891 and 24909. First we will calculate the prime factors of 24891 and 24909.

Prime Factorization of 24891

Prime Factorization of 24909

Now multiplying the highest exponent prime factors to calculate the LCM of 24891 and 24909.

LCM(24891,24909) = 3¹ × 8297¹ × 19² × 23¹
LCM(24891,24909) = 206669973