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What is the Least Common Multiple of 10093 and 10105?

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 10093 and 10105 is 101989765.

LCM(10093,10105) = 101989765

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Least Common Multiple of 10093 and 10105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10093 and 10105, than apply into the LCM equation.

GCF(10093,10105) = 1
LCM(10093,10105) = ( 10093 × 10105) / 1
LCM(10093,10105) = 101989765 / 1
LCM(10093,10105) = 101989765

Least Common Multiple (LCM) of 10093 and 10105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10093 and 10105. First we will calculate the prime factors of 10093 and 10105.

Prime Factorization of 10093

Prime factors of 10093 are 10093. Prime factorization of 10093 in exponential form is:

10093 = 100931

Prime Factorization of 10105

Prime factors of 10105 are 5, 43, 47. Prime factorization of 10105 in exponential form is:

10105 = 51 × 431 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 10093 and 10105.

LCM(10093,10105) = 100931 × 51 × 431 × 471
LCM(10093,10105) = 101989765