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What is the Least Common Multiple of 13326 and 13331?

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 13326 and 13331 is 177648906.

LCM(13326,13331) = 177648906

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Least Common Multiple of 13326 and 13331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13326 and 13331, than apply into the LCM equation.

GCF(13326,13331) = 1
LCM(13326,13331) = ( 13326 × 13331) / 1
LCM(13326,13331) = 177648906 / 1
LCM(13326,13331) = 177648906

Least Common Multiple (LCM) of 13326 and 13331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13326 and 13331. First we will calculate the prime factors of 13326 and 13331.

Prime Factorization of 13326

Prime factors of 13326 are 2, 3, 2221. Prime factorization of 13326 in exponential form is:

13326 = 21 × 31 × 22211

Prime Factorization of 13331

Prime factors of 13331 are 13331. Prime factorization of 13331 in exponential form is:

13331 = 133311

Now multiplying the highest exponent prime factors to calculate the LCM of 13326 and 13331.

LCM(13326,13331) = 21 × 31 × 22211 × 133311
LCM(13326,13331) = 177648906