What is the Least Common Multiple of 23982 and 24000?

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 23982 and 24000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23982 and 24000, than apply into the LCM equation.

GCF(23982,24000) = 6
LCM(23982,24000) = ( 23982 × 24000) / 6
LCM(23982,24000) = 575568000 / 6
LCM(23982,24000) = 95928000

Least Common Multiple (LCM) of 23982 and 24000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23982 and 24000. First we will calculate the prime factors of 23982 and 24000.

Prime Factorization of 23982

Prime Factorization of 24000

Now multiplying the highest exponent prime factors to calculate the LCM of 23982 and 24000.

LCM(23982,24000) = 2⁶ × 3¹ × 7¹ × 571¹ × 5³
LCM(23982,24000) = 95928000