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What is the Least Common Multiple of 6859 and 6871?

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 6859 and 6871 is 47128189.

LCM(6859,6871) = 47128189

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Least Common Multiple of 6859 and 6871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6859 and 6871, than apply into the LCM equation.

GCF(6859,6871) = 1
LCM(6859,6871) = ( 6859 × 6871) / 1
LCM(6859,6871) = 47128189 / 1
LCM(6859,6871) = 47128189

Least Common Multiple (LCM) of 6859 and 6871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6859 and 6871. First we will calculate the prime factors of 6859 and 6871.

Prime Factorization of 6859

Prime factors of 6859 are 19. Prime factorization of 6859 in exponential form is:

6859 = 193

Prime Factorization of 6871

Prime factors of 6871 are 6871. Prime factorization of 6871 in exponential form is:

6871 = 68711

Now multiplying the highest exponent prime factors to calculate the LCM of 6859 and 6871.

LCM(6859,6871) = 193 × 68711
LCM(6859,6871) = 47128189