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What is the Least Common Multiple of 13353 and 13365?

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 13353 and 13365 is 59487615.

LCM(13353,13365) = 59487615

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Least Common Multiple of 13353 and 13365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13353 and 13365, than apply into the LCM equation.

GCF(13353,13365) = 3
LCM(13353,13365) = ( 13353 × 13365) / 3
LCM(13353,13365) = 178462845 / 3
LCM(13353,13365) = 59487615

Least Common Multiple (LCM) of 13353 and 13365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13353 and 13365. First we will calculate the prime factors of 13353 and 13365.

Prime Factorization of 13353

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

13353 = 31 × 44511

Prime Factorization of 13365

Prime factors of 13365 are 3, 5, 11. Prime factorization of 13365 in exponential form is:

13365 = 35 × 51 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 13353 and 13365.

LCM(13353,13365) = 35 × 44511 × 51 × 111
LCM(13353,13365) = 59487615