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What is the Least Common Multiple of 18184 and 18199?

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 18184 and 18199 is 330930616.

LCM(18184,18199) = 330930616

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Least Common Multiple of 18184 and 18199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18184 and 18199, than apply into the LCM equation.

GCF(18184,18199) = 1
LCM(18184,18199) = ( 18184 × 18199) / 1
LCM(18184,18199) = 330930616 / 1
LCM(18184,18199) = 330930616

Least Common Multiple (LCM) of 18184 and 18199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18184 and 18199. First we will calculate the prime factors of 18184 and 18199.

Prime Factorization of 18184

Prime factors of 18184 are 2, 2273. Prime factorization of 18184 in exponential form is:

18184 = 23 × 22731

Prime Factorization of 18199

Prime factors of 18199 are 18199. Prime factorization of 18199 in exponential form is:

18199 = 181991

Now multiplying the highest exponent prime factors to calculate the LCM of 18184 and 18199.

LCM(18184,18199) = 23 × 22731 × 181991
LCM(18184,18199) = 330930616