What is the Least Common Multiple of 23984 and 23993?

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 23993 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 23993, than apply into the LCM equation.

GCF(23984,23993) = 1
LCM(23984,23993) = ( 23984 × 23993) / 1
LCM(23984,23993) = 575448112 / 1
LCM(23984,23993) = 575448112

Least Common Multiple (LCM) of 23984 and 23993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23984 and 23993. First we will calculate the prime factors of 23984 and 23993.

Prime Factorization of 23984

Prime Factorization of 23993

Now multiplying the highest exponent prime factors to calculate the LCM of 23984 and 23993.

LCM(23984,23993) = 2⁴ × 1499¹ × 23993¹
LCM(23984,23993) = 575448112