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What is the Least Common Multiple of 17917 and 17924?

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 17917 and 17924 is 321144308.

LCM(17917,17924) = 321144308

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Least Common Multiple of 17917 and 17924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17917 and 17924, than apply into the LCM equation.

GCF(17917,17924) = 1
LCM(17917,17924) = ( 17917 × 17924) / 1
LCM(17917,17924) = 321144308 / 1
LCM(17917,17924) = 321144308

Least Common Multiple (LCM) of 17917 and 17924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17917 and 17924. First we will calculate the prime factors of 17917 and 17924.

Prime Factorization of 17917

Prime factors of 17917 are 19, 23, 41. Prime factorization of 17917 in exponential form is:

17917 = 191 × 231 × 411

Prime Factorization of 17924

Prime factors of 17924 are 2, 4481. Prime factorization of 17924 in exponential form is:

17924 = 22 × 44811

Now multiplying the highest exponent prime factors to calculate the LCM of 17917 and 17924.

LCM(17917,17924) = 191 × 231 × 411 × 22 × 44811
LCM(17917,17924) = 321144308