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What is the Least Common Multiple of 13323 and 13340?

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 13323 and 13340 is 177728820.

LCM(13323,13340) = 177728820

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Least Common Multiple of 13323 and 13340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13323 and 13340, than apply into the LCM equation.

GCF(13323,13340) = 1
LCM(13323,13340) = ( 13323 × 13340) / 1
LCM(13323,13340) = 177728820 / 1
LCM(13323,13340) = 177728820

Least Common Multiple (LCM) of 13323 and 13340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13323 and 13340. First we will calculate the prime factors of 13323 and 13340.

Prime Factorization of 13323

Prime factors of 13323 are 3, 4441. Prime factorization of 13323 in exponential form is:

13323 = 31 × 44411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 13323 and 13340.

LCM(13323,13340) = 31 × 44411 × 22 × 51 × 231 × 291
LCM(13323,13340) = 177728820