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What is the Least Common Multiple of 4863 and 4875?

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 4863 and 4875 is 7902375.

LCM(4863,4875) = 7902375

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Least Common Multiple of 4863 and 4875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4863 and 4875, than apply into the LCM equation.

GCF(4863,4875) = 3
LCM(4863,4875) = ( 4863 × 4875) / 3
LCM(4863,4875) = 23707125 / 3
LCM(4863,4875) = 7902375

Least Common Multiple (LCM) of 4863 and 4875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4863 and 4875. First we will calculate the prime factors of 4863 and 4875.

Prime Factorization of 4863

Prime factors of 4863 are 3, 1621. Prime factorization of 4863 in exponential form is:

4863 = 31 × 16211

Prime Factorization of 4875

Prime factors of 4875 are 3, 5, 13. Prime factorization of 4875 in exponential form is:

4875 = 31 × 53 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 4863 and 4875.

LCM(4863,4875) = 31 × 16211 × 53 × 131
LCM(4863,4875) = 7902375