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What is the Least Common Multiple of 13559 and 13569?

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 13559 and 13569 is 183982071.

LCM(13559,13569) = 183982071

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Least Common Multiple of 13559 and 13569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13559 and 13569, than apply into the LCM equation.

GCF(13559,13569) = 1
LCM(13559,13569) = ( 13559 × 13569) / 1
LCM(13559,13569) = 183982071 / 1
LCM(13559,13569) = 183982071

Least Common Multiple (LCM) of 13559 and 13569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13559 and 13569. First we will calculate the prime factors of 13559 and 13569.

Prime Factorization of 13559

Prime factors of 13559 are 7, 13, 149. Prime factorization of 13559 in exponential form is:

13559 = 71 × 131 × 1491

Prime Factorization of 13569

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

13569 = 31 × 45231

Now multiplying the highest exponent prime factors to calculate the LCM of 13559 and 13569.

LCM(13559,13569) = 71 × 131 × 1491 × 31 × 45231
LCM(13559,13569) = 183982071