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What is the Least Common Multiple of 17729 and 17736?

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 17729 and 17736 is 314441544.

LCM(17729,17736) = 314441544

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Least Common Multiple of 17729 and 17736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17729 and 17736, than apply into the LCM equation.

GCF(17729,17736) = 1
LCM(17729,17736) = ( 17729 × 17736) / 1
LCM(17729,17736) = 314441544 / 1
LCM(17729,17736) = 314441544

Least Common Multiple (LCM) of 17729 and 17736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17729 and 17736. First we will calculate the prime factors of 17729 and 17736.

Prime Factorization of 17729

Prime factors of 17729 are 17729. Prime factorization of 17729 in exponential form is:

17729 = 177291

Prime Factorization of 17736

Prime factors of 17736 are 2, 3, 739. Prime factorization of 17736 in exponential form is:

17736 = 23 × 31 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 17729 and 17736.

LCM(17729,17736) = 177291 × 23 × 31 × 7391
LCM(17729,17736) = 314441544