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What is the Least Common Multiple of 13281 and 13299?

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 13281 and 13299 is 58874673.

LCM(13281,13299) = 58874673

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Least Common Multiple of 13281 and 13299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13281 and 13299, than apply into the LCM equation.

GCF(13281,13299) = 3
LCM(13281,13299) = ( 13281 × 13299) / 3
LCM(13281,13299) = 176624019 / 3
LCM(13281,13299) = 58874673

Least Common Multiple (LCM) of 13281 and 13299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13281 and 13299. First we will calculate the prime factors of 13281 and 13299.

Prime Factorization of 13281

Prime factors of 13281 are 3, 19, 233. Prime factorization of 13281 in exponential form is:

13281 = 31 × 191 × 2331

Prime Factorization of 13299

Prime factors of 13299 are 3, 11, 13, 31. Prime factorization of 13299 in exponential form is:

13299 = 31 × 111 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 13281 and 13299.

LCM(13281,13299) = 31 × 191 × 2331 × 111 × 131 × 311
LCM(13281,13299) = 58874673