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What is the Least Common Multiple of 6851 and 6869?

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 6851 and 6869 is 47059519.

LCM(6851,6869) = 47059519

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Least Common Multiple of 6851 and 6869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6851 and 6869, than apply into the LCM equation.

GCF(6851,6869) = 1
LCM(6851,6869) = ( 6851 × 6869) / 1
LCM(6851,6869) = 47059519 / 1
LCM(6851,6869) = 47059519

Least Common Multiple (LCM) of 6851 and 6869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6851 and 6869. First we will calculate the prime factors of 6851 and 6869.

Prime Factorization of 6851

Prime factors of 6851 are 13, 17, 31. Prime factorization of 6851 in exponential form is:

6851 = 131 × 171 × 311

Prime Factorization of 6869

Prime factors of 6869 are 6869. Prime factorization of 6869 in exponential form is:

6869 = 68691

Now multiplying the highest exponent prime factors to calculate the LCM of 6851 and 6869.

LCM(6851,6869) = 131 × 171 × 311 × 68691
LCM(6851,6869) = 47059519