What is the Least Common Multiple of 23808 and 23824?

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 23808 and 23824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23808 and 23824, than apply into the LCM equation.

GCF(23808,23824) = 16
LCM(23808,23824) = ( 23808 × 23824) / 16
LCM(23808,23824) = 567201792 / 16
LCM(23808,23824) = 35450112

Least Common Multiple (LCM) of 23808 and 23824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23808 and 23824. First we will calculate the prime factors of 23808 and 23824.

Prime Factorization of 23808

Prime Factorization of 23824

Now multiplying the highest exponent prime factors to calculate the LCM of 23808 and 23824.

LCM(23808,23824) = 2⁸ × 3¹ × 31¹ × 1489¹
LCM(23808,23824) = 35450112