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What is the Least Common Multiple of 10589 and 10597?

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 10589 and 10597 is 112211633.

LCM(10589,10597) = 112211633

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Least Common Multiple of 10589 and 10597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10589 and 10597, than apply into the LCM equation.

GCF(10589,10597) = 1
LCM(10589,10597) = ( 10589 × 10597) / 1
LCM(10589,10597) = 112211633 / 1
LCM(10589,10597) = 112211633

Least Common Multiple (LCM) of 10589 and 10597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10589 and 10597. First we will calculate the prime factors of 10589 and 10597.

Prime Factorization of 10589

Prime factors of 10589 are 10589. Prime factorization of 10589 in exponential form is:

10589 = 105891

Prime Factorization of 10597

Prime factors of 10597 are 10597. Prime factorization of 10597 in exponential form is:

10597 = 105971

Now multiplying the highest exponent prime factors to calculate the LCM of 10589 and 10597.

LCM(10589,10597) = 105891 × 105971
LCM(10589,10597) = 112211633