What is the Least Common Multiple of 82584 and 82599?

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 82584 and 82599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82584 and 82599, than apply into the LCM equation.

GCF(82584,82599) = 3
LCM(82584,82599) = ( 82584 × 82599) / 3
LCM(82584,82599) = 6821355816 / 3
LCM(82584,82599) = 2273785272

Least Common Multiple (LCM) of 82584 and 82599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82584 and 82599. First we will calculate the prime factors of 82584 and 82599.

Prime Factorization of 82584

Prime Factorization of 82599

Now multiplying the highest exponent prime factors to calculate the LCM of 82584 and 82599.

LCM(82584,82599) = 2³ × 3² × 31¹ × 37¹ × 11¹ × 2503¹
LCM(82584,82599) = 2273785272