What is the Least Common Multiple of 64239 and 64256?

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 64239 and 64256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64239 and 64256, than apply into the LCM equation.

GCF(64239,64256) = 1
LCM(64239,64256) = ( 64239 × 64256) / 1
LCM(64239,64256) = 4127741184 / 1
LCM(64239,64256) = 4127741184

Least Common Multiple (LCM) of 64239 and 64256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64239 and 64256. First we will calculate the prime factors of 64239 and 64256.

Prime Factorization of 64239

Prime Factorization of 64256

Now multiplying the highest exponent prime factors to calculate the LCM of 64239 and 64256.

LCM(64239,64256) = 3¹ × 7² × 19¹ × 23¹ × 2⁸ × 251¹
LCM(64239,64256) = 4127741184