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What is the Least Common Multiple of 29513 and 29517?

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 29513 and 29517 is 871135221.

LCM(29513,29517) = 871135221

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Least Common Multiple of 29513 and 29517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29513 and 29517, than apply into the LCM equation.

GCF(29513,29517) = 1
LCM(29513,29517) = ( 29513 × 29517) / 1
LCM(29513,29517) = 871135221 / 1
LCM(29513,29517) = 871135221

Least Common Multiple (LCM) of 29513 and 29517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29513 and 29517. First we will calculate the prime factors of 29513 and 29517.

Prime Factorization of 29513

Prime factors of 29513 are 11, 2683. Prime factorization of 29513 in exponential form is:

29513 = 111 × 26831

Prime Factorization of 29517

Prime factors of 29517 are 3, 9839. Prime factorization of 29517 in exponential form is:

29517 = 31 × 98391

Now multiplying the highest exponent prime factors to calculate the LCM of 29513 and 29517.

LCM(29513,29517) = 111 × 26831 × 31 × 98391
LCM(29513,29517) = 871135221