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What is the Least Common Multiple of 10083 and 10093?

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 10083 and 10093 is 101767719.

LCM(10083,10093) = 101767719

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Least Common Multiple of 10083 and 10093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10083 and 10093, than apply into the LCM equation.

GCF(10083,10093) = 1
LCM(10083,10093) = ( 10083 × 10093) / 1
LCM(10083,10093) = 101767719 / 1
LCM(10083,10093) = 101767719

Least Common Multiple (LCM) of 10083 and 10093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10083 and 10093. First we will calculate the prime factors of 10083 and 10093.

Prime Factorization of 10083

Prime factors of 10083 are 3, 3361. Prime factorization of 10083 in exponential form is:

10083 = 31 × 33611

Prime Factorization of 10093

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

10093 = 100931

Now multiplying the highest exponent prime factors to calculate the LCM of 10083 and 10093.

LCM(10083,10093) = 31 × 33611 × 100931
LCM(10083,10093) = 101767719