What is the Least Common Multiple of 2599 and 2608?

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 2599 and 2608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2599 and 2608, than apply into the LCM equation.

GCF(2599,2608) = 1
LCM(2599,2608) = ( 2599 × 2608) / 1
LCM(2599,2608) = 6778192 / 1
LCM(2599,2608) = 6778192

Least Common Multiple (LCM) of 2599 and 2608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2599 and 2608. First we will calculate the prime factors of 2599 and 2608.

Prime Factorization of 2599

Prime Factorization of 2608

Now multiplying the highest exponent prime factors to calculate the LCM of 2599 and 2608.

LCM(2599,2608) = 23¹ × 113¹ × 2⁴ × 163¹
LCM(2599,2608) = 6778192