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What is the Least Common Multiple of 13382 and 13399?

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 13382 and 13399 is 179305418.

LCM(13382,13399) = 179305418

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Least Common Multiple of 13382 and 13399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13382 and 13399, than apply into the LCM equation.

GCF(13382,13399) = 1
LCM(13382,13399) = ( 13382 × 13399) / 1
LCM(13382,13399) = 179305418 / 1
LCM(13382,13399) = 179305418

Least Common Multiple (LCM) of 13382 and 13399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13382 and 13399. First we will calculate the prime factors of 13382 and 13399.

Prime Factorization of 13382

Prime factors of 13382 are 2, 6691. Prime factorization of 13382 in exponential form is:

13382 = 21 × 66911

Prime Factorization of 13399

Prime factors of 13399 are 13399. Prime factorization of 13399 in exponential form is:

13399 = 133991

Now multiplying the highest exponent prime factors to calculate the LCM of 13382 and 13399.

LCM(13382,13399) = 21 × 66911 × 133991
LCM(13382,13399) = 179305418