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What is the Least Common Multiple of 18357 and 18367?

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 18357 and 18367 is 337163019.

LCM(18357,18367) = 337163019

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Least Common Multiple of 18357 and 18367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18357 and 18367, than apply into the LCM equation.

GCF(18357,18367) = 1
LCM(18357,18367) = ( 18357 × 18367) / 1
LCM(18357,18367) = 337163019 / 1
LCM(18357,18367) = 337163019

Least Common Multiple (LCM) of 18357 and 18367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18357 and 18367. First we will calculate the prime factors of 18357 and 18367.

Prime Factorization of 18357

Prime factors of 18357 are 3, 29, 211. Prime factorization of 18357 in exponential form is:

18357 = 31 × 291 × 2111

Prime Factorization of 18367

Prime factors of 18367 are 18367. Prime factorization of 18367 in exponential form is:

18367 = 183671

Now multiplying the highest exponent prime factors to calculate the LCM of 18357 and 18367.

LCM(18357,18367) = 31 × 291 × 2111 × 183671
LCM(18357,18367) = 337163019