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What is the Least Common Multiple of 17829 and 17836?

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 17836 is 45428292.

LCM(17829,17836) = 45428292

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Least Common Multiple of 17829 and 17836 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 17836, than apply into the LCM equation.

GCF(17829,17836) = 7
LCM(17829,17836) = ( 17829 × 17836) / 7
LCM(17829,17836) = 317998044 / 7
LCM(17829,17836) = 45428292

Least Common Multiple (LCM) of 17829 and 17836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17829 and 17836. First we will calculate the prime factors of 17829 and 17836.

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 17836

Prime factors of 17836 are 2, 7, 13. Prime factorization of 17836 in exponential form is:

17836 = 22 × 73 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 17829 and 17836.

LCM(17829,17836) = 32 × 73 × 2831 × 22 × 131
LCM(17829,17836) = 45428292