What is the Least Common Multiple of 23988 and 23999?

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 23988 and 23999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23988 and 23999, than apply into the LCM equation.

GCF(23988,23999) = 1
LCM(23988,23999) = ( 23988 × 23999) / 1
LCM(23988,23999) = 575688012 / 1
LCM(23988,23999) = 575688012

Least Common Multiple (LCM) of 23988 and 23999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23988 and 23999. First we will calculate the prime factors of 23988 and 23999.

Prime Factorization of 23988

Prime Factorization of 23999

Now multiplying the highest exponent prime factors to calculate the LCM of 23988 and 23999.

LCM(23988,23999) = 2² × 3¹ × 1999¹ × 103¹ × 233¹
LCM(23988,23999) = 575688012