What is the Least Common Multiple of 2584 and 2603?

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 2603 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 2603, than apply into the LCM equation.

GCF(2584,2603) = 19
LCM(2584,2603) = ( 2584 × 2603) / 19
LCM(2584,2603) = 6726152 / 19
LCM(2584,2603) = 354008

Least Common Multiple (LCM) of 2584 and 2603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2584 and 2603. First we will calculate the prime factors of 2584 and 2603.

Prime Factorization of 2584

Prime Factorization of 2603

Now multiplying the highest exponent prime factors to calculate the LCM of 2584 and 2603.

LCM(2584,2603) = 2³ × 17¹ × 19¹ × 137¹
LCM(2584,2603) = 354008