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What is the Least Common Multiple of 13605 and 13611?

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 13605 and 13611 is 61725885.

LCM(13605,13611) = 61725885

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Least Common Multiple of 13605 and 13611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13605 and 13611, than apply into the LCM equation.

GCF(13605,13611) = 3
LCM(13605,13611) = ( 13605 × 13611) / 3
LCM(13605,13611) = 185177655 / 3
LCM(13605,13611) = 61725885

Least Common Multiple (LCM) of 13605 and 13611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13605 and 13611. First we will calculate the prime factors of 13605 and 13611.

Prime Factorization of 13605

Prime factors of 13605 are 3, 5, 907. Prime factorization of 13605 in exponential form is:

13605 = 31 × 51 × 9071

Prime Factorization of 13611

Prime factors of 13611 are 3, 13, 349. Prime factorization of 13611 in exponential form is:

13611 = 31 × 131 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 13605 and 13611.

LCM(13605,13611) = 31 × 51 × 9071 × 131 × 3491
LCM(13605,13611) = 61725885