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What is the Least Common Multiple of 2597 and 2604?

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 2597 and 2604 is 966084.

LCM(2597,2604) = 966084

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Least Common Multiple of 2597 and 2604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2597 and 2604, than apply into the LCM equation.

GCF(2597,2604) = 7
LCM(2597,2604) = ( 2597 × 2604) / 7
LCM(2597,2604) = 6762588 / 7
LCM(2597,2604) = 966084

Least Common Multiple (LCM) of 2597 and 2604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2597 and 2604. First we will calculate the prime factors of 2597 and 2604.

Prime Factorization of 2597

Prime factors of 2597 are 7, 53. Prime factorization of 2597 in exponential form is:

2597 = 72 × 531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2597 and 2604.

LCM(2597,2604) = 72 × 531 × 22 × 31 × 311
LCM(2597,2604) = 966084