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What is the Least Common Multiple of 13340 and 13359?

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 13340 and 13359 is 178209060.

LCM(13340,13359) = 178209060

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Least Common Multiple of 13340 and 13359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13340 and 13359, than apply into the LCM equation.

GCF(13340,13359) = 1
LCM(13340,13359) = ( 13340 × 13359) / 1
LCM(13340,13359) = 178209060 / 1
LCM(13340,13359) = 178209060

Least Common Multiple (LCM) of 13340 and 13359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13340 and 13359. First we will calculate the prime factors of 13340 and 13359.

Prime Factorization of 13340

Prime factors of 13340 are 2, 5, 23, 29. Prime factorization of 13340 in exponential form is:

13340 = 22 × 51 × 231 × 291

Prime Factorization of 13359

Prime factors of 13359 are 3, 61, 73. Prime factorization of 13359 in exponential form is:

13359 = 31 × 611 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 13340 and 13359.

LCM(13340,13359) = 22 × 51 × 231 × 291 × 31 × 611 × 731
LCM(13340,13359) = 178209060