What is the Least Common Multiple of 6564 and 6582?

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 6582 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 6582, than apply into the LCM equation.

GCF(6564,6582) = 6
LCM(6564,6582) = ( 6564 × 6582) / 6
LCM(6564,6582) = 43204248 / 6
LCM(6564,6582) = 7200708

Least Common Multiple (LCM) of 6564 and 6582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6564 and 6582. First we will calculate the prime factors of 6564 and 6582.

Prime Factorization of 6564

Prime Factorization of 6582

Now multiplying the highest exponent prime factors to calculate the LCM of 6564 and 6582.

LCM(6564,6582) = 2² × 3¹ × 547¹ × 1097¹
LCM(6564,6582) = 7200708