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What is the Least Common Multiple of 17909 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 17909 and 17924 is 321000916.

LCM(17909,17924) = 321000916

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Least Common Multiple of 17909 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 17909 and 17924, than apply into the LCM equation.

GCF(17909,17924) = 1
LCM(17909,17924) = ( 17909 × 17924) / 1
LCM(17909,17924) = 321000916 / 1
LCM(17909,17924) = 321000916

Least Common Multiple (LCM) of 17909 and 17924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17909 and 17924. First we will calculate the prime factors of 17909 and 17924.

Prime Factorization of 17909

Prime factors of 17909 are 17909. Prime factorization of 17909 in exponential form is:

17909 = 179091

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 17909 and 17924.

LCM(17909,17924) = 179091 × 22 × 44811
LCM(17909,17924) = 321000916