What is the Least Common Multiple of 6564 and 6583?

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 6583 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 6583, than apply into the LCM equation.

GCF(6564,6583) = 1
LCM(6564,6583) = ( 6564 × 6583) / 1
LCM(6564,6583) = 43210812 / 1
LCM(6564,6583) = 43210812

Least Common Multiple (LCM) of 6564 and 6583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6564 and 6583. First we will calculate the prime factors of 6564 and 6583.

Prime Factorization of 6564

Prime Factorization of 6583

Now multiplying the highest exponent prime factors to calculate the LCM of 6564 and 6583.

LCM(6564,6583) = 2² × 3¹ × 547¹ × 29¹ × 227¹
LCM(6564,6583) = 43210812