What is the Least Common Multiple of 64256 and 64269?

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 64256 and 64269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64256 and 64269, than apply into the LCM equation.

GCF(64256,64269) = 1
LCM(64256,64269) = ( 64256 × 64269) / 1
LCM(64256,64269) = 4129668864 / 1
LCM(64256,64269) = 4129668864

Least Common Multiple (LCM) of 64256 and 64269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64256 and 64269. First we will calculate the prime factors of 64256 and 64269.

Prime Factorization of 64256

Prime Factorization of 64269

Now multiplying the highest exponent prime factors to calculate the LCM of 64256 and 64269.

LCM(64256,64269) = 2⁸ × 251¹ × 3² × 37¹ × 193¹
LCM(64256,64269) = 4129668864