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What is the Least Common Multiple of 6796 and 6814?

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 6796 and 6814 is 23153972.

LCM(6796,6814) = 23153972

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Least Common Multiple of 6796 and 6814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6796 and 6814, than apply into the LCM equation.

GCF(6796,6814) = 2
LCM(6796,6814) = ( 6796 × 6814) / 2
LCM(6796,6814) = 46307944 / 2
LCM(6796,6814) = 23153972

Least Common Multiple (LCM) of 6796 and 6814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6796 and 6814. First we will calculate the prime factors of 6796 and 6814.

Prime Factorization of 6796

Prime factors of 6796 are 2, 1699. Prime factorization of 6796 in exponential form is:

6796 = 22 × 16991

Prime Factorization of 6814

Prime factors of 6814 are 2, 3407. Prime factorization of 6814 in exponential form is:

6814 = 21 × 34071

Now multiplying the highest exponent prime factors to calculate the LCM of 6796 and 6814.

LCM(6796,6814) = 22 × 16991 × 34071
LCM(6796,6814) = 23153972