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What is the Least Common Multiple of 18384 and 18391?

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 18384 and 18391 is 338100144.

LCM(18384,18391) = 338100144

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Least Common Multiple of 18384 and 18391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18384 and 18391, than apply into the LCM equation.

GCF(18384,18391) = 1
LCM(18384,18391) = ( 18384 × 18391) / 1
LCM(18384,18391) = 338100144 / 1
LCM(18384,18391) = 338100144

Least Common Multiple (LCM) of 18384 and 18391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18384 and 18391. First we will calculate the prime factors of 18384 and 18391.

Prime Factorization of 18384

Prime factors of 18384 are 2, 3, 383. Prime factorization of 18384 in exponential form is:

18384 = 24 × 31 × 3831

Prime Factorization of 18391

Prime factors of 18391 are 53, 347. Prime factorization of 18391 in exponential form is:

18391 = 531 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 18384 and 18391.

LCM(18384,18391) = 24 × 31 × 3831 × 531 × 3471
LCM(18384,18391) = 338100144