What is the Least Common Multiple of 23909 and 23924?

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 23909 and 23924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23909 and 23924, than apply into the LCM equation.

GCF(23909,23924) = 1
LCM(23909,23924) = ( 23909 × 23924) / 1
LCM(23909,23924) = 571998916 / 1
LCM(23909,23924) = 571998916

Least Common Multiple (LCM) of 23909 and 23924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23909 and 23924. First we will calculate the prime factors of 23909 and 23924.

Prime Factorization of 23909

Prime Factorization of 23924

Now multiplying the highest exponent prime factors to calculate the LCM of 23909 and 23924.

LCM(23909,23924) = 23909¹ × 2² × 5981¹
LCM(23909,23924) = 571998916