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What is the Least Common Multiple of 13339 and 13358?

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 13339 and 13358 is 178182362.

LCM(13339,13358) = 178182362

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Least Common Multiple of 13339 and 13358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13339 and 13358, than apply into the LCM equation.

GCF(13339,13358) = 1
LCM(13339,13358) = ( 13339 × 13358) / 1
LCM(13339,13358) = 178182362 / 1
LCM(13339,13358) = 178182362

Least Common Multiple (LCM) of 13339 and 13358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13339 and 13358. First we will calculate the prime factors of 13339 and 13358.

Prime Factorization of 13339

Prime factors of 13339 are 13339. Prime factorization of 13339 in exponential form is:

13339 = 133391

Prime Factorization of 13358

Prime factors of 13358 are 2, 6679. Prime factorization of 13358 in exponential form is:

13358 = 21 × 66791

Now multiplying the highest exponent prime factors to calculate the LCM of 13339 and 13358.

LCM(13339,13358) = 133391 × 21 × 66791
LCM(13339,13358) = 178182362