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What is the Least Common Multiple of 10085 and 10089?

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 10085 and 10089 is 101747565.

LCM(10085,10089) = 101747565

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Least Common Multiple of 10085 and 10089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10085 and 10089, than apply into the LCM equation.

GCF(10085,10089) = 1
LCM(10085,10089) = ( 10085 × 10089) / 1
LCM(10085,10089) = 101747565 / 1
LCM(10085,10089) = 101747565

Least Common Multiple (LCM) of 10085 and 10089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10085 and 10089. First we will calculate the prime factors of 10085 and 10089.

Prime Factorization of 10085

Prime factors of 10085 are 5, 2017. Prime factorization of 10085 in exponential form is:

10085 = 51 × 20171

Prime Factorization of 10089

Prime factors of 10089 are 3, 19, 59. Prime factorization of 10089 in exponential form is:

10089 = 32 × 191 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 10085 and 10089.

LCM(10085,10089) = 51 × 20171 × 32 × 191 × 591
LCM(10085,10089) = 101747565