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What is the Least Common Multiple of 18385 and 18401?

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 18401 is 338302385.

LCM(18385,18401) = 338302385

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Least Common Multiple of 18385 and 18401 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 18401, than apply into the LCM equation.

GCF(18385,18401) = 1
LCM(18385,18401) = ( 18385 × 18401) / 1
LCM(18385,18401) = 338302385 / 1
LCM(18385,18401) = 338302385

Least Common Multiple (LCM) of 18385 and 18401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18385 and 18401. First we will calculate the prime factors of 18385 and 18401.

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 18401

Prime factors of 18401 are 18401. Prime factorization of 18401 in exponential form is:

18401 = 184011

Now multiplying the highest exponent prime factors to calculate the LCM of 18385 and 18401.

LCM(18385,18401) = 51 × 36771 × 184011
LCM(18385,18401) = 338302385