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What is the Least Common Multiple of 10597 and 10610?

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 10597 and 10610 is 112434170.

LCM(10597,10610) = 112434170

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Least Common Multiple of 10597 and 10610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10597 and 10610, than apply into the LCM equation.

GCF(10597,10610) = 1
LCM(10597,10610) = ( 10597 × 10610) / 1
LCM(10597,10610) = 112434170 / 1
LCM(10597,10610) = 112434170

Least Common Multiple (LCM) of 10597 and 10610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10597 and 10610. First we will calculate the prime factors of 10597 and 10610.

Prime Factorization of 10597

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

10597 = 105971

Prime Factorization of 10610

Prime factors of 10610 are 2, 5, 1061. Prime factorization of 10610 in exponential form is:

10610 = 21 × 51 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 10597 and 10610.

LCM(10597,10610) = 105971 × 21 × 51 × 10611
LCM(10597,10610) = 112434170