What is the Least Common Multiple of 64256 and 64274?

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 64274 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 64274, than apply into the LCM equation.

GCF(64256,64274) = 2
LCM(64256,64274) = ( 64256 × 64274) / 2
LCM(64256,64274) = 4129990144 / 2
LCM(64256,64274) = 2064995072

Least Common Multiple (LCM) of 64256 and 64274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64256 and 64274. First we will calculate the prime factors of 64256 and 64274.

Prime Factorization of 64256

Prime Factorization of 64274

Now multiplying the highest exponent prime factors to calculate the LCM of 64256 and 64274.

LCM(64256,64274) = 2⁸ × 251¹ × 7¹ × 4591¹
LCM(64256,64274) = 2064995072