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What is the Least Common Multiple of 18395 and 18413?

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 18395 and 18413 is 338707135.

LCM(18395,18413) = 338707135

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Least Common Multiple of 18395 and 18413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18395 and 18413, than apply into the LCM equation.

GCF(18395,18413) = 1
LCM(18395,18413) = ( 18395 × 18413) / 1
LCM(18395,18413) = 338707135 / 1
LCM(18395,18413) = 338707135

Least Common Multiple (LCM) of 18395 and 18413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18395 and 18413. First we will calculate the prime factors of 18395 and 18413.

Prime Factorization of 18395

Prime factors of 18395 are 5, 13, 283. Prime factorization of 18395 in exponential form is:

18395 = 51 × 131 × 2831

Prime Factorization of 18413

Prime factors of 18413 are 18413. Prime factorization of 18413 in exponential form is:

18413 = 184131

Now multiplying the highest exponent prime factors to calculate the LCM of 18395 and 18413.

LCM(18395,18413) = 51 × 131 × 2831 × 184131
LCM(18395,18413) = 338707135