What is the Least Common Multiple of 6585 and 6605?

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 6585 and 6605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6585 and 6605, than apply into the LCM equation.

GCF(6585,6605) = 5
LCM(6585,6605) = ( 6585 × 6605) / 5
LCM(6585,6605) = 43493925 / 5
LCM(6585,6605) = 8698785

Least Common Multiple (LCM) of 6585 and 6605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6585 and 6605. First we will calculate the prime factors of 6585 and 6605.

Prime Factorization of 6585

Prime Factorization of 6605

Now multiplying the highest exponent prime factors to calculate the LCM of 6585 and 6605.

LCM(6585,6605) = 3¹ × 5¹ × 439¹ × 1321¹
LCM(6585,6605) = 8698785