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What is the Least Common Multiple of 4866 and 4873?

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 4866 and 4873 is 23712018.

LCM(4866,4873) = 23712018

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Least Common Multiple of 4866 and 4873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4866 and 4873, than apply into the LCM equation.

GCF(4866,4873) = 1
LCM(4866,4873) = ( 4866 × 4873) / 1
LCM(4866,4873) = 23712018 / 1
LCM(4866,4873) = 23712018

Least Common Multiple (LCM) of 4866 and 4873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4866 and 4873. First we will calculate the prime factors of 4866 and 4873.

Prime Factorization of 4866

Prime factors of 4866 are 2, 3, 811. Prime factorization of 4866 in exponential form is:

4866 = 21 × 31 × 8111

Prime Factorization of 4873

Prime factors of 4873 are 11, 443. Prime factorization of 4873 in exponential form is:

4873 = 111 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 4866 and 4873.

LCM(4866,4873) = 21 × 31 × 8111 × 111 × 4431
LCM(4866,4873) = 23712018