What is the Least Common Multiple of 23728 and 23744?

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 23728 and 23744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23728 and 23744, than apply into the LCM equation.

GCF(23728,23744) = 16
LCM(23728,23744) = ( 23728 × 23744) / 16
LCM(23728,23744) = 563397632 / 16
LCM(23728,23744) = 35212352

Least Common Multiple (LCM) of 23728 and 23744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23728 and 23744. First we will calculate the prime factors of 23728 and 23744.

Prime Factorization of 23728

Prime Factorization of 23744

Now multiplying the highest exponent prime factors to calculate the LCM of 23728 and 23744.

LCM(23728,23744) = 2⁶ × 1483¹ × 7¹ × 53¹
LCM(23728,23744) = 35212352