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What is the Least Common Multiple of 13360 and 13378?

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 13360 and 13378 is 89365040.

LCM(13360,13378) = 89365040

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Least Common Multiple of 13360 and 13378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13360 and 13378, than apply into the LCM equation.

GCF(13360,13378) = 2
LCM(13360,13378) = ( 13360 × 13378) / 2
LCM(13360,13378) = 178730080 / 2
LCM(13360,13378) = 89365040

Least Common Multiple (LCM) of 13360 and 13378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13360 and 13378. First we will calculate the prime factors of 13360 and 13378.

Prime Factorization of 13360

Prime factors of 13360 are 2, 5, 167. Prime factorization of 13360 in exponential form is:

13360 = 24 × 51 × 1671

Prime Factorization of 13378

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

13378 = 21 × 66891

Now multiplying the highest exponent prime factors to calculate the LCM of 13360 and 13378.

LCM(13360,13378) = 24 × 51 × 1671 × 66891
LCM(13360,13378) = 89365040