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What is the Least Common Multiple of 13320 and 13326?

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 13320 and 13326 is 29583720.

LCM(13320,13326) = 29583720

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Least Common Multiple of 13320 and 13326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13320 and 13326, than apply into the LCM equation.

GCF(13320,13326) = 6
LCM(13320,13326) = ( 13320 × 13326) / 6
LCM(13320,13326) = 177502320 / 6
LCM(13320,13326) = 29583720

Least Common Multiple (LCM) of 13320 and 13326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13320 and 13326. First we will calculate the prime factors of 13320 and 13326.

Prime Factorization of 13320

Prime factors of 13320 are 2, 3, 5, 37. Prime factorization of 13320 in exponential form is:

13320 = 23 × 32 × 51 × 371

Prime Factorization of 13326

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

13326 = 21 × 31 × 22211

Now multiplying the highest exponent prime factors to calculate the LCM of 13320 and 13326.

LCM(13320,13326) = 23 × 32 × 51 × 371 × 22211
LCM(13320,13326) = 29583720