What is the Least Common Multiple of 23984 and 24001?

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 23984 and 24001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23984 and 24001, than apply into the LCM equation.

GCF(23984,24001) = 1
LCM(23984,24001) = ( 23984 × 24001) / 1
LCM(23984,24001) = 575639984 / 1
LCM(23984,24001) = 575639984

Least Common Multiple (LCM) of 23984 and 24001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23984 and 24001. First we will calculate the prime factors of 23984 and 24001.

Prime Factorization of 23984

Prime Factorization of 24001

Now multiplying the highest exponent prime factors to calculate the LCM of 23984 and 24001.

LCM(23984,24001) = 2⁴ × 1499¹ × 24001¹
LCM(23984,24001) = 575639984