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What is the Least Common Multiple of 6798 and 6805?

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 6798 and 6805 is 46260390.

LCM(6798,6805) = 46260390

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Least Common Multiple of 6798 and 6805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6798 and 6805, than apply into the LCM equation.

GCF(6798,6805) = 1
LCM(6798,6805) = ( 6798 × 6805) / 1
LCM(6798,6805) = 46260390 / 1
LCM(6798,6805) = 46260390

Least Common Multiple (LCM) of 6798 and 6805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6798 and 6805. First we will calculate the prime factors of 6798 and 6805.

Prime Factorization of 6798

Prime factors of 6798 are 2, 3, 11, 103. Prime factorization of 6798 in exponential form is:

6798 = 21 × 31 × 111 × 1031

Prime Factorization of 6805

Prime factors of 6805 are 5, 1361. Prime factorization of 6805 in exponential form is:

6805 = 51 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 6798 and 6805.

LCM(6798,6805) = 21 × 31 × 111 × 1031 × 51 × 13611
LCM(6798,6805) = 46260390