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What is the Least Common Multiple of 13336 and 13353?

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 13336 and 13353 is 178075608.

LCM(13336,13353) = 178075608

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Least Common Multiple of 13336 and 13353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13336 and 13353, than apply into the LCM equation.

GCF(13336,13353) = 1
LCM(13336,13353) = ( 13336 × 13353) / 1
LCM(13336,13353) = 178075608 / 1
LCM(13336,13353) = 178075608

Least Common Multiple (LCM) of 13336 and 13353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13336 and 13353. First we will calculate the prime factors of 13336 and 13353.

Prime Factorization of 13336

Prime factors of 13336 are 2, 1667. Prime factorization of 13336 in exponential form is:

13336 = 23 × 16671

Prime Factorization of 13353

Prime factors of 13353 are 3, 4451. Prime factorization of 13353 in exponential form is:

13353 = 31 × 44511

Now multiplying the highest exponent prime factors to calculate the LCM of 13336 and 13353.

LCM(13336,13353) = 23 × 16671 × 31 × 44511
LCM(13336,13353) = 178075608