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What is the Least Common Multiple of 13569 and 13583?

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 13569 and 13583 is 184307727.

LCM(13569,13583) = 184307727

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Least Common Multiple of 13569 and 13583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13569 and 13583, than apply into the LCM equation.

GCF(13569,13583) = 1
LCM(13569,13583) = ( 13569 × 13583) / 1
LCM(13569,13583) = 184307727 / 1
LCM(13569,13583) = 184307727

Least Common Multiple (LCM) of 13569 and 13583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13569 and 13583. First we will calculate the prime factors of 13569 and 13583.

Prime Factorization of 13569

Prime factors of 13569 are 3, 4523. Prime factorization of 13569 in exponential form is:

13569 = 31 × 45231

Prime Factorization of 13583

Prime factors of 13583 are 17, 47. Prime factorization of 13583 in exponential form is:

13583 = 172 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 13569 and 13583.

LCM(13569,13583) = 31 × 45231 × 172 × 471
LCM(13569,13583) = 184307727