What is the Least Common Multiple of 2604 and 2617?

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 2604 and 2617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2604 and 2617, than apply into the LCM equation.

GCF(2604,2617) = 1
LCM(2604,2617) = ( 2604 × 2617) / 1
LCM(2604,2617) = 6814668 / 1
LCM(2604,2617) = 6814668

Least Common Multiple (LCM) of 2604 and 2617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2604 and 2617. First we will calculate the prime factors of 2604 and 2617.

Prime Factorization of 2604

Prime Factorization of 2617

Now multiplying the highest exponent prime factors to calculate the LCM of 2604 and 2617.

LCM(2604,2617) = 2² × 3¹ × 7¹ × 31¹ × 2617¹
LCM(2604,2617) = 6814668