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What is the Least Common Multiple of 17817 and 17829?

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 17817 and 17829 is 105886431.

LCM(17817,17829) = 105886431

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Least Common Multiple of 17817 and 17829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17817 and 17829, than apply into the LCM equation.

GCF(17817,17829) = 3
LCM(17817,17829) = ( 17817 × 17829) / 3
LCM(17817,17829) = 317659293 / 3
LCM(17817,17829) = 105886431

Least Common Multiple (LCM) of 17817 and 17829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17817 and 17829. First we will calculate the prime factors of 17817 and 17829.

Prime Factorization of 17817

Prime factors of 17817 are 3, 5939. Prime factorization of 17817 in exponential form is:

17817 = 31 × 59391

Prime Factorization of 17829

Prime factors of 17829 are 3, 7, 283. Prime factorization of 17829 in exponential form is:

17829 = 32 × 71 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 17817 and 17829.

LCM(17817,17829) = 32 × 59391 × 71 × 2831
LCM(17817,17829) = 105886431