What is the Least Common Multiple of 82584 and 82598?

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 82598 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 82598, than apply into the LCM equation.

GCF(82584,82598) = 2
LCM(82584,82598) = ( 82584 × 82598) / 2
LCM(82584,82598) = 6821273232 / 2
LCM(82584,82598) = 3410636616

Least Common Multiple (LCM) of 82584 and 82598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82584 and 82598. First we will calculate the prime factors of 82584 and 82598.

Prime Factorization of 82584

Prime Factorization of 82598

Now multiplying the highest exponent prime factors to calculate the LCM of 82584 and 82598.

LCM(82584,82598) = 2³ × 3² × 31¹ × 37¹ × 41299¹
LCM(82584,82598) = 3410636616