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What is the Least Common Multiple of 13836 and 13848?

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 13836 and 13848 is 15966744.

LCM(13836,13848) = 15966744

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Least Common Multiple of 13836 and 13848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13836 and 13848, than apply into the LCM equation.

GCF(13836,13848) = 12
LCM(13836,13848) = ( 13836 × 13848) / 12
LCM(13836,13848) = 191600928 / 12
LCM(13836,13848) = 15966744

Least Common Multiple (LCM) of 13836 and 13848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13836 and 13848. First we will calculate the prime factors of 13836 and 13848.

Prime Factorization of 13836

Prime factors of 13836 are 2, 3, 1153. Prime factorization of 13836 in exponential form is:

13836 = 22 × 31 × 11531

Prime Factorization of 13848

Prime factors of 13848 are 2, 3, 577. Prime factorization of 13848 in exponential form is:

13848 = 23 × 31 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 13836 and 13848.

LCM(13836,13848) = 23 × 31 × 11531 × 5771
LCM(13836,13848) = 15966744