What is the Least Common Multiple of 512 and 517?

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 512 and 517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 512 and 517, than apply into the LCM equation.

GCF(512,517) = 1
LCM(512,517) = ( 512 × 517) / 1
LCM(512,517) = 264704 / 1
LCM(512,517) = 264704

Least Common Multiple (LCM) of 512 and 517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 512 and 517. First we will calculate the prime factors of 512 and 517.

Prime Factorization of 512

Prime Factorization of 517

Now multiplying the highest exponent prime factors to calculate the LCM of 512 and 517.

LCM(512,517) = 2⁹ × 11¹ × 47¹
LCM(512,517) = 264704