What is the Least Common Multiple of 23800 and 23808?

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 23800 and 23808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23800 and 23808, than apply into the LCM equation.

GCF(23800,23808) = 8
LCM(23800,23808) = ( 23800 × 23808) / 8
LCM(23800,23808) = 566630400 / 8
LCM(23800,23808) = 70828800

Least Common Multiple (LCM) of 23800 and 23808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23800 and 23808. First we will calculate the prime factors of 23800 and 23808.

Prime Factorization of 23800

Prime Factorization of 23808

Now multiplying the highest exponent prime factors to calculate the LCM of 23800 and 23808.

LCM(23800,23808) = 2⁸ × 5² × 7¹ × 17¹ × 3¹ × 31¹
LCM(23800,23808) = 70828800