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What is the Least Common Multiple of 13801 and 13809?

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 13801 and 13809 is 190578009.

LCM(13801,13809) = 190578009

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Least Common Multiple of 13801 and 13809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13801 and 13809, than apply into the LCM equation.

GCF(13801,13809) = 1
LCM(13801,13809) = ( 13801 × 13809) / 1
LCM(13801,13809) = 190578009 / 1
LCM(13801,13809) = 190578009

Least Common Multiple (LCM) of 13801 and 13809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13801 and 13809. First we will calculate the prime factors of 13801 and 13809.

Prime Factorization of 13801

Prime factors of 13801 are 37, 373. Prime factorization of 13801 in exponential form is:

13801 = 371 × 3731

Prime Factorization of 13809

Prime factors of 13809 are 3, 4603. Prime factorization of 13809 in exponential form is:

13809 = 31 × 46031

Now multiplying the highest exponent prime factors to calculate the LCM of 13801 and 13809.

LCM(13801,13809) = 371 × 3731 × 31 × 46031
LCM(13801,13809) = 190578009