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What is the Least Common Multiple of 18307 and 18322?

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 18307 and 18322 is 335420854.

LCM(18307,18322) = 335420854

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Least Common Multiple of 18307 and 18322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18307 and 18322, than apply into the LCM equation.

GCF(18307,18322) = 1
LCM(18307,18322) = ( 18307 × 18322) / 1
LCM(18307,18322) = 335420854 / 1
LCM(18307,18322) = 335420854

Least Common Multiple (LCM) of 18307 and 18322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18307 and 18322. First we will calculate the prime factors of 18307 and 18322.

Prime Factorization of 18307

Prime factors of 18307 are 18307. Prime factorization of 18307 in exponential form is:

18307 = 183071

Prime Factorization of 18322

Prime factors of 18322 are 2, 9161. Prime factorization of 18322 in exponential form is:

18322 = 21 × 91611

Now multiplying the highest exponent prime factors to calculate the LCM of 18307 and 18322.

LCM(18307,18322) = 183071 × 21 × 91611
LCM(18307,18322) = 335420854