What is the Least Common Multiple of 2584 and 2598?

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 2584 and 2598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2584 and 2598, than apply into the LCM equation.

GCF(2584,2598) = 2
LCM(2584,2598) = ( 2584 × 2598) / 2
LCM(2584,2598) = 6713232 / 2
LCM(2584,2598) = 3356616

Least Common Multiple (LCM) of 2584 and 2598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2584 and 2598. First we will calculate the prime factors of 2584 and 2598.

Prime Factorization of 2584

Prime Factorization of 2598

Now multiplying the highest exponent prime factors to calculate the LCM of 2584 and 2598.

LCM(2584,2598) = 2³ × 17¹ × 19¹ × 3¹ × 433¹
LCM(2584,2598) = 3356616