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What is the Least Common Multiple of 10083 and 10097?

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 10097 is 101808051.

LCM(10083,10097) = 101808051

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Least Common Multiple of 10083 and 10097 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 10097, than apply into the LCM equation.

GCF(10083,10097) = 1
LCM(10083,10097) = ( 10083 × 10097) / 1
LCM(10083,10097) = 101808051 / 1
LCM(10083,10097) = 101808051

Least Common Multiple (LCM) of 10083 and 10097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10083 and 10097. First we will calculate the prime factors of 10083 and 10097.

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 10097

Prime factors of 10097 are 23, 439. Prime factorization of 10097 in exponential form is:

10097 = 231 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 10083 and 10097.

LCM(10083,10097) = 31 × 33611 × 231 × 4391
LCM(10083,10097) = 101808051