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What is the Least Common Multiple of 24859 and 24873?

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 24859 and 24873 is 618317907.

LCM(24859,24873) = 618317907

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Least Common Multiple of 24859 and 24873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24859 and 24873, than apply into the LCM equation.

GCF(24859,24873) = 1
LCM(24859,24873) = ( 24859 × 24873) / 1
LCM(24859,24873) = 618317907 / 1
LCM(24859,24873) = 618317907

Least Common Multiple (LCM) of 24859 and 24873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24859 and 24873. First we will calculate the prime factors of 24859 and 24873.

Prime Factorization of 24859

Prime factors of 24859 are 24859. Prime factorization of 24859 in exponential form is:

24859 = 248591

Prime Factorization of 24873

Prime factors of 24873 are 3, 8291. Prime factorization of 24873 in exponential form is:

24873 = 31 × 82911

Now multiplying the highest exponent prime factors to calculate the LCM of 24859 and 24873.

LCM(24859,24873) = 248591 × 31 × 82911
LCM(24859,24873) = 618317907