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What is the Least Common Multiple of 10808 and 10814?

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 10808 and 10814 is 58438856.

LCM(10808,10814) = 58438856

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Least Common Multiple of 10808 and 10814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10808 and 10814, than apply into the LCM equation.

GCF(10808,10814) = 2
LCM(10808,10814) = ( 10808 × 10814) / 2
LCM(10808,10814) = 116877712 / 2
LCM(10808,10814) = 58438856

Least Common Multiple (LCM) of 10808 and 10814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10808 and 10814. First we will calculate the prime factors of 10808 and 10814.

Prime Factorization of 10808

Prime factors of 10808 are 2, 7, 193. Prime factorization of 10808 in exponential form is:

10808 = 23 × 71 × 1931

Prime Factorization of 10814

Prime factors of 10814 are 2, 5407. Prime factorization of 10814 in exponential form is:

10814 = 21 × 54071

Now multiplying the highest exponent prime factors to calculate the LCM of 10808 and 10814.

LCM(10808,10814) = 23 × 71 × 1931 × 54071
LCM(10808,10814) = 58438856