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What is the Least Common Multiple of 17829 and 17837?

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 17829 and 17837 is 318015873.

LCM(17829,17837) = 318015873

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Least Common Multiple of 17829 and 17837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17829 and 17837, than apply into the LCM equation.

GCF(17829,17837) = 1
LCM(17829,17837) = ( 17829 × 17837) / 1
LCM(17829,17837) = 318015873 / 1
LCM(17829,17837) = 318015873

Least Common Multiple (LCM) of 17829 and 17837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17829 and 17837. First we will calculate the prime factors of 17829 and 17837.

Prime Factorization of 17829

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

17829 = 32 × 71 × 2831

Prime Factorization of 17837

Prime factors of 17837 are 17837. Prime factorization of 17837 in exponential form is:

17837 = 178371

Now multiplying the highest exponent prime factors to calculate the LCM of 17829 and 17837.

LCM(17829,17837) = 32 × 71 × 2831 × 178371
LCM(17829,17837) = 318015873