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What is the Least Common Multiple of 18097 and 18111?

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 18097 and 18111 is 327754767.

LCM(18097,18111) = 327754767

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Least Common Multiple of 18097 and 18111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18097 and 18111, than apply into the LCM equation.

GCF(18097,18111) = 1
LCM(18097,18111) = ( 18097 × 18111) / 1
LCM(18097,18111) = 327754767 / 1
LCM(18097,18111) = 327754767

Least Common Multiple (LCM) of 18097 and 18111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18097 and 18111. First we will calculate the prime factors of 18097 and 18111.

Prime Factorization of 18097

Prime factors of 18097 are 18097. Prime factorization of 18097 in exponential form is:

18097 = 180971

Prime Factorization of 18111

Prime factors of 18111 are 3, 6037. Prime factorization of 18111 in exponential form is:

18111 = 31 × 60371

Now multiplying the highest exponent prime factors to calculate the LCM of 18097 and 18111.

LCM(18097,18111) = 180971 × 31 × 60371
LCM(18097,18111) = 327754767