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What is the Least Common Multiple of 4867 and 4878?

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 4867 and 4878 is 23741226.

LCM(4867,4878) = 23741226

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Least Common Multiple of 4867 and 4878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4867 and 4878, than apply into the LCM equation.

GCF(4867,4878) = 1
LCM(4867,4878) = ( 4867 × 4878) / 1
LCM(4867,4878) = 23741226 / 1
LCM(4867,4878) = 23741226

Least Common Multiple (LCM) of 4867 and 4878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4867 and 4878. First we will calculate the prime factors of 4867 and 4878.

Prime Factorization of 4867

Prime factors of 4867 are 31, 157. Prime factorization of 4867 in exponential form is:

4867 = 311 × 1571

Prime Factorization of 4878

Prime factors of 4878 are 2, 3, 271. Prime factorization of 4878 in exponential form is:

4878 = 21 × 32 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 4867 and 4878.

LCM(4867,4878) = 311 × 1571 × 21 × 32 × 2711
LCM(4867,4878) = 23741226