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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 (LCM) of 2604 and 2617 is 6814668.

LCM(2604,2617) = 6814668

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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 factors of 2604 are 2, 3, 7, 31. Prime factorization of 2604 in exponential form is:

2604 = 22 × 31 × 71 × 311

Prime Factorization of 2617

Prime factors of 2617 are 2617. Prime factorization of 2617 in exponential form is:

2617 = 26171

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