What is the Least Common Multiple of 2574 and 2589?

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 2574 and 2589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2574 and 2589, than apply into the LCM equation.

GCF(2574,2589) = 3
LCM(2574,2589) = ( 2574 × 2589) / 3
LCM(2574,2589) = 6664086 / 3
LCM(2574,2589) = 2221362

Least Common Multiple (LCM) of 2574 and 2589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2574 and 2589. First we will calculate the prime factors of 2574 and 2589.

Prime Factorization of 2574

Prime Factorization of 2589

Now multiplying the highest exponent prime factors to calculate the LCM of 2574 and 2589.

LCM(2574,2589) = 2¹ × 3² × 11¹ × 13¹ × 863¹
LCM(2574,2589) = 2221362