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What is the Least Common Multiple of 10790 and 10809?

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 10790 and 10809 is 116629110.

LCM(10790,10809) = 116629110

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Least Common Multiple of 10790 and 10809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10790 and 10809, than apply into the LCM equation.

GCF(10790,10809) = 1
LCM(10790,10809) = ( 10790 × 10809) / 1
LCM(10790,10809) = 116629110 / 1
LCM(10790,10809) = 116629110

Least Common Multiple (LCM) of 10790 and 10809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10790 and 10809. First we will calculate the prime factors of 10790 and 10809.

Prime Factorization of 10790

Prime factors of 10790 are 2, 5, 13, 83. Prime factorization of 10790 in exponential form is:

10790 = 21 × 51 × 131 × 831

Prime Factorization of 10809

Prime factors of 10809 are 3, 1201. Prime factorization of 10809 in exponential form is:

10809 = 32 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 10790 and 10809.

LCM(10790,10809) = 21 × 51 × 131 × 831 × 32 × 12011
LCM(10790,10809) = 116629110