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What is the Least Common Multiple of 10097 and 10111?

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 10097 and 10111 is 102090767.

LCM(10097,10111) = 102090767

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Least Common Multiple of 10097 and 10111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10097 and 10111, than apply into the LCM equation.

GCF(10097,10111) = 1
LCM(10097,10111) = ( 10097 × 10111) / 1
LCM(10097,10111) = 102090767 / 1
LCM(10097,10111) = 102090767

Least Common Multiple (LCM) of 10097 and 10111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10097 and 10111. First we will calculate the prime factors of 10097 and 10111.

Prime Factorization of 10097

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

10097 = 231 × 4391

Prime Factorization of 10111

Prime factors of 10111 are 10111. Prime factorization of 10111 in exponential form is:

10111 = 101111

Now multiplying the highest exponent prime factors to calculate the LCM of 10097 and 10111.

LCM(10097,10111) = 231 × 4391 × 101111
LCM(10097,10111) = 102090767