What is the Least Common Multiple of 6564 and 6584?

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 6564 and 6584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6564 and 6584, than apply into the LCM equation.

GCF(6564,6584) = 4
LCM(6564,6584) = ( 6564 × 6584) / 4
LCM(6564,6584) = 43217376 / 4
LCM(6564,6584) = 10804344

Least Common Multiple (LCM) of 6564 and 6584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6564 and 6584. First we will calculate the prime factors of 6564 and 6584.

Prime Factorization of 6564

Prime Factorization of 6584

Now multiplying the highest exponent prime factors to calculate the LCM of 6564 and 6584.

LCM(6564,6584) = 2³ × 3¹ × 547¹ × 823¹
LCM(6564,6584) = 10804344