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What is the Least Common Multiple of 6857 and 6870?

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 6857 and 6870 is 47107590.

LCM(6857,6870) = 47107590

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Least Common Multiple of 6857 and 6870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6857 and 6870, than apply into the LCM equation.

GCF(6857,6870) = 1
LCM(6857,6870) = ( 6857 × 6870) / 1
LCM(6857,6870) = 47107590 / 1
LCM(6857,6870) = 47107590

Least Common Multiple (LCM) of 6857 and 6870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6857 and 6870. First we will calculate the prime factors of 6857 and 6870.

Prime Factorization of 6857

Prime factors of 6857 are 6857. Prime factorization of 6857 in exponential form is:

6857 = 68571

Prime Factorization of 6870

Prime factors of 6870 are 2, 3, 5, 229. Prime factorization of 6870 in exponential form is:

6870 = 21 × 31 × 51 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 6857 and 6870.

LCM(6857,6870) = 68571 × 21 × 31 × 51 × 2291
LCM(6857,6870) = 47107590