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What is the Least Common Multiple of 6846 and 6861?

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 6846 and 6861 is 15656802.

LCM(6846,6861) = 15656802

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Least Common Multiple of 6846 and 6861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6846 and 6861, than apply into the LCM equation.

GCF(6846,6861) = 3
LCM(6846,6861) = ( 6846 × 6861) / 3
LCM(6846,6861) = 46970406 / 3
LCM(6846,6861) = 15656802

Least Common Multiple (LCM) of 6846 and 6861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6846 and 6861. First we will calculate the prime factors of 6846 and 6861.

Prime Factorization of 6846

Prime factors of 6846 are 2, 3, 7, 163. Prime factorization of 6846 in exponential form is:

6846 = 21 × 31 × 71 × 1631

Prime Factorization of 6861

Prime factors of 6861 are 3, 2287. Prime factorization of 6861 in exponential form is:

6861 = 31 × 22871

Now multiplying the highest exponent prime factors to calculate the LCM of 6846 and 6861.

LCM(6846,6861) = 21 × 31 × 71 × 1631 × 22871
LCM(6846,6861) = 15656802