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What is the Least Common Multiple of 12790 and 12804?

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 12790 and 12804 is 81881580.

LCM(12790,12804) = 81881580

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Least Common Multiple of 12790 and 12804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12790 and 12804, than apply into the LCM equation.

GCF(12790,12804) = 2
LCM(12790,12804) = ( 12790 × 12804) / 2
LCM(12790,12804) = 163763160 / 2
LCM(12790,12804) = 81881580

Least Common Multiple (LCM) of 12790 and 12804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12790 and 12804. First we will calculate the prime factors of 12790 and 12804.

Prime Factorization of 12790

Prime factors of 12790 are 2, 5, 1279. Prime factorization of 12790 in exponential form is:

12790 = 21 × 51 × 12791

Prime Factorization of 12804

Prime factors of 12804 are 2, 3, 11, 97. Prime factorization of 12804 in exponential form is:

12804 = 22 × 31 × 111 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 12790 and 12804.

LCM(12790,12804) = 22 × 51 × 12791 × 31 × 111 × 971
LCM(12790,12804) = 81881580