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What is the Least Common Multiple of 4859 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 4859 and 4873 is 23677907.

LCM(4859,4873) = 23677907

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Least Common Multiple of 4859 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 4859 and 4873, than apply into the LCM equation.

GCF(4859,4873) = 1
LCM(4859,4873) = ( 4859 × 4873) / 1
LCM(4859,4873) = 23677907 / 1
LCM(4859,4873) = 23677907

Least Common Multiple (LCM) of 4859 and 4873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4859 and 4873. First we will calculate the prime factors of 4859 and 4873.

Prime Factorization of 4859

Prime factors of 4859 are 43, 113. Prime factorization of 4859 in exponential form is:

4859 = 431 × 1131

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 4859 and 4873.

LCM(4859,4873) = 431 × 1131 × 111 × 4431
LCM(4859,4873) = 23677907