What is the Least Common Multiple of 23264 and 23284?

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 23264 and 23284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23264 and 23284, than apply into the LCM equation.

GCF(23264,23284) = 4
LCM(23264,23284) = ( 23264 × 23284) / 4
LCM(23264,23284) = 541678976 / 4
LCM(23264,23284) = 135419744

Least Common Multiple (LCM) of 23264 and 23284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23264 and 23284. First we will calculate the prime factors of 23264 and 23284.

Prime Factorization of 23264

Prime Factorization of 23284

Now multiplying the highest exponent prime factors to calculate the LCM of 23264 and 23284.

LCM(23264,23284) = 2⁵ × 727¹ × 5821¹
LCM(23264,23284) = 135419744