What is the Least Common Multiple of 2585 and 2604?

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 2585 and 2604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2585 and 2604, than apply into the LCM equation.

GCF(2585,2604) = 1
LCM(2585,2604) = ( 2585 × 2604) / 1
LCM(2585,2604) = 6731340 / 1
LCM(2585,2604) = 6731340

Least Common Multiple (LCM) of 2585 and 2604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2585 and 2604. First we will calculate the prime factors of 2585 and 2604.

Prime Factorization of 2585

Prime Factorization of 2604

Now multiplying the highest exponent prime factors to calculate the LCM of 2585 and 2604.

LCM(2585,2604) = 5¹ × 11¹ × 47¹ × 2² × 3¹ × 7¹ × 31¹
LCM(2585,2604) = 6731340