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What is the Least Common Multiple of 13363 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 13363 and 13378 is 178770214.

LCM(13363,13378) = 178770214

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Least Common Multiple of 13363 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 13363 and 13378, than apply into the LCM equation.

GCF(13363,13378) = 1
LCM(13363,13378) = ( 13363 × 13378) / 1
LCM(13363,13378) = 178770214 / 1
LCM(13363,13378) = 178770214

Least Common Multiple (LCM) of 13363 and 13378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13363 and 13378. First we will calculate the prime factors of 13363 and 13378.

Prime Factorization of 13363

Prime factors of 13363 are 7, 23, 83. Prime factorization of 13363 in exponential form is:

13363 = 71 × 231 × 831

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 13363 and 13378.

LCM(13363,13378) = 71 × 231 × 831 × 21 × 66891
LCM(13363,13378) = 178770214