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What is the Least Common Multiple of 18395 and 18409?

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 18409 is 338633555.

LCM(18395,18409) = 338633555

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Least Common Multiple of 18395 and 18409 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 18409, than apply into the LCM equation.

GCF(18395,18409) = 1
LCM(18395,18409) = ( 18395 × 18409) / 1
LCM(18395,18409) = 338633555 / 1
LCM(18395,18409) = 338633555

Least Common Multiple (LCM) of 18395 and 18409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18395 and 18409. First we will calculate the prime factors of 18395 and 18409.

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 18409

Prime factors of 18409 are 41, 449. Prime factorization of 18409 in exponential form is:

18409 = 411 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 18395 and 18409.

LCM(18395,18409) = 51 × 131 × 2831 × 411 × 4491
LCM(18395,18409) = 338633555