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What is the Least Common Multiple of 18385 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 18385 and 18391 is 338118535.

LCM(18385,18391) = 338118535

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Least Common Multiple of 18385 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 18385 and 18391, than apply into the LCM equation.

GCF(18385,18391) = 1
LCM(18385,18391) = ( 18385 × 18391) / 1
LCM(18385,18391) = 338118535 / 1
LCM(18385,18391) = 338118535

Least Common Multiple (LCM) of 18385 and 18391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18385 and 18391. First we will calculate the prime factors of 18385 and 18391.

Prime Factorization of 18385

Prime factors of 18385 are 5, 3677. Prime factorization of 18385 in exponential form is:

18385 = 51 × 36771

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 18385 and 18391.

LCM(18385,18391) = 51 × 36771 × 531 × 3471
LCM(18385,18391) = 338118535