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What is the Least Common Multiple of 6846 and 6866?

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 6866 is 23502318.

LCM(6846,6866) = 23502318

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Least Common Multiple of 6846 and 6866 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 6866, than apply into the LCM equation.

GCF(6846,6866) = 2
LCM(6846,6866) = ( 6846 × 6866) / 2
LCM(6846,6866) = 47004636 / 2
LCM(6846,6866) = 23502318

Least Common Multiple (LCM) of 6846 and 6866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6846 and 6866. First we will calculate the prime factors of 6846 and 6866.

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 6866

Prime factors of 6866 are 2, 3433. Prime factorization of 6866 in exponential form is:

6866 = 21 × 34331

Now multiplying the highest exponent prime factors to calculate the LCM of 6846 and 6866.

LCM(6846,6866) = 21 × 31 × 71 × 1631 × 34331
LCM(6846,6866) = 23502318