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What is the Least Common Multiple of 4866 and 4879?

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 4879 is 23741214.

LCM(4866,4879) = 23741214

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Least Common Multiple of 4866 and 4879 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 4879, than apply into the LCM equation.

GCF(4866,4879) = 1
LCM(4866,4879) = ( 4866 × 4879) / 1
LCM(4866,4879) = 23741214 / 1
LCM(4866,4879) = 23741214

Least Common Multiple (LCM) of 4866 and 4879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4866 and 4879. First we will calculate the prime factors of 4866 and 4879.

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 4879

Prime factors of 4879 are 7, 17, 41. Prime factorization of 4879 in exponential form is:

4879 = 71 × 171 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 4866 and 4879.

LCM(4866,4879) = 21 × 31 × 8111 × 71 × 171 × 411
LCM(4866,4879) = 23741214