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What is the Least Common Multiple of 17862 and 17873?

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 17862 and 17873 is 319247526.

LCM(17862,17873) = 319247526

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Least Common Multiple of 17862 and 17873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17862 and 17873, than apply into the LCM equation.

GCF(17862,17873) = 1
LCM(17862,17873) = ( 17862 × 17873) / 1
LCM(17862,17873) = 319247526 / 1
LCM(17862,17873) = 319247526

Least Common Multiple (LCM) of 17862 and 17873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17862 and 17873. First we will calculate the prime factors of 17862 and 17873.

Prime Factorization of 17862

Prime factors of 17862 are 2, 3, 13, 229. Prime factorization of 17862 in exponential form is:

17862 = 21 × 31 × 131 × 2291

Prime Factorization of 17873

Prime factors of 17873 are 61, 293. Prime factorization of 17873 in exponential form is:

17873 = 611 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 17862 and 17873.

LCM(17862,17873) = 21 × 31 × 131 × 2291 × 611 × 2931
LCM(17862,17873) = 319247526