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What is the Least Common Multiple of 17906 and 17910?

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 17906 and 17910 is 160348230.

LCM(17906,17910) = 160348230

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Least Common Multiple of 17906 and 17910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17906 and 17910, than apply into the LCM equation.

GCF(17906,17910) = 2
LCM(17906,17910) = ( 17906 × 17910) / 2
LCM(17906,17910) = 320696460 / 2
LCM(17906,17910) = 160348230

Least Common Multiple (LCM) of 17906 and 17910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17906 and 17910. First we will calculate the prime factors of 17906 and 17910.

Prime Factorization of 17906

Prime factors of 17906 are 2, 7, 1279. Prime factorization of 17906 in exponential form is:

17906 = 21 × 71 × 12791

Prime Factorization of 17910

Prime factors of 17910 are 2, 3, 5, 199. Prime factorization of 17910 in exponential form is:

17910 = 21 × 32 × 51 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 17906 and 17910.

LCM(17906,17910) = 21 × 71 × 12791 × 32 × 51 × 1991
LCM(17906,17910) = 160348230