What is the Least Common Multiple of 6600 and 6609?

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 6600 and 6609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6600 and 6609, than apply into the LCM equation.

GCF(6600,6609) = 3
LCM(6600,6609) = ( 6600 × 6609) / 3
LCM(6600,6609) = 43619400 / 3
LCM(6600,6609) = 14539800

Least Common Multiple (LCM) of 6600 and 6609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6600 and 6609. First we will calculate the prime factors of 6600 and 6609.

Prime Factorization of 6600

Prime Factorization of 6609

Now multiplying the highest exponent prime factors to calculate the LCM of 6600 and 6609.

LCM(6600,6609) = 2³ × 3¹ × 5² × 11¹ × 2203¹
LCM(6600,6609) = 14539800