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What is the Least Common Multiple of 16857 and 16869?

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 16857 and 16869 is 94786911.

LCM(16857,16869) = 94786911

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Least Common Multiple of 16857 and 16869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16857 and 16869, than apply into the LCM equation.

GCF(16857,16869) = 3
LCM(16857,16869) = ( 16857 × 16869) / 3
LCM(16857,16869) = 284360733 / 3
LCM(16857,16869) = 94786911

Least Common Multiple (LCM) of 16857 and 16869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16857 and 16869. First we will calculate the prime factors of 16857 and 16869.

Prime Factorization of 16857

Prime factors of 16857 are 3, 1873. Prime factorization of 16857 in exponential form is:

16857 = 32 × 18731

Prime Factorization of 16869

Prime factors of 16869 are 3, 5623. Prime factorization of 16869 in exponential form is:

16869 = 31 × 56231

Now multiplying the highest exponent prime factors to calculate the LCM of 16857 and 16869.

LCM(16857,16869) = 32 × 18731 × 56231
LCM(16857,16869) = 94786911