What is the Least Common Multiple of 6547 and 6564?

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 6547 and 6564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6547 and 6564, than apply into the LCM equation.

GCF(6547,6564) = 1
LCM(6547,6564) = ( 6547 × 6564) / 1
LCM(6547,6564) = 42974508 / 1
LCM(6547,6564) = 42974508

Least Common Multiple (LCM) of 6547 and 6564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6547 and 6564. First we will calculate the prime factors of 6547 and 6564.

Prime Factorization of 6547

Prime Factorization of 6564

Now multiplying the highest exponent prime factors to calculate the LCM of 6547 and 6564.

LCM(6547,6564) = 6547¹ × 2² × 3¹ × 547¹
LCM(6547,6564) = 42974508