What is the Least Common Multiple of 84584 and 84589?

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 84584 and 84589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84584 and 84589, than apply into the LCM equation.

GCF(84584,84589) = 1
LCM(84584,84589) = ( 84584 × 84589) / 1
LCM(84584,84589) = 7154875976 / 1
LCM(84584,84589) = 7154875976

Least Common Multiple (LCM) of 84584 and 84589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84584 and 84589. First we will calculate the prime factors of 84584 and 84589.

Prime Factorization of 84584

Prime Factorization of 84589

Now multiplying the highest exponent prime factors to calculate the LCM of 84584 and 84589.

LCM(84584,84589) = 2³ × 97¹ × 109¹ × 84589¹
LCM(84584,84589) = 7154875976