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What is the Least Common Multiple of 2589 and 2605?

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 2589 and 2605 is 6744345.

LCM(2589,2605) = 6744345

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Least Common Multiple of 2589 and 2605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2589 and 2605, than apply into the LCM equation.

GCF(2589,2605) = 1
LCM(2589,2605) = ( 2589 × 2605) / 1
LCM(2589,2605) = 6744345 / 1
LCM(2589,2605) = 6744345

Least Common Multiple (LCM) of 2589 and 2605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2589 and 2605. First we will calculate the prime factors of 2589 and 2605.

Prime Factorization of 2589

Prime factors of 2589 are 3, 863. Prime factorization of 2589 in exponential form is:

2589 = 31 × 8631

Prime Factorization of 2605

Prime factors of 2605 are 5, 521. Prime factorization of 2605 in exponential form is:

2605 = 51 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 2589 and 2605.

LCM(2589,2605) = 31 × 8631 × 51 × 5211
LCM(2589,2605) = 6744345