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What is the Least Common Multiple of 13378 and 13382?

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 13378 and 13382 is 89512198.

LCM(13378,13382) = 89512198

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Least Common Multiple of 13378 and 13382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13378 and 13382, than apply into the LCM equation.

GCF(13378,13382) = 2
LCM(13378,13382) = ( 13378 × 13382) / 2
LCM(13378,13382) = 179024396 / 2
LCM(13378,13382) = 89512198

Least Common Multiple (LCM) of 13378 and 13382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13378 and 13382. First we will calculate the prime factors of 13378 and 13382.

Prime Factorization of 13378

Prime factors of 13378 are 2, 6689. Prime factorization of 13378 in exponential form is:

13378 = 21 × 66891

Prime Factorization of 13382

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

13382 = 21 × 66911

Now multiplying the highest exponent prime factors to calculate the LCM of 13378 and 13382.

LCM(13378,13382) = 21 × 66891 × 66911
LCM(13378,13382) = 89512198