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What is the Least Common Multiple of 24879 and 24887?

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 24879 and 24887 is 619163673.

LCM(24879,24887) = 619163673

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Least Common Multiple of 24879 and 24887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24879 and 24887, than apply into the LCM equation.

GCF(24879,24887) = 1
LCM(24879,24887) = ( 24879 × 24887) / 1
LCM(24879,24887) = 619163673 / 1
LCM(24879,24887) = 619163673

Least Common Multiple (LCM) of 24879 and 24887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24879 and 24887. First we will calculate the prime factors of 24879 and 24887.

Prime Factorization of 24879

Prime factors of 24879 are 3, 8293. Prime factorization of 24879 in exponential form is:

24879 = 31 × 82931

Prime Factorization of 24887

Prime factors of 24887 are 41, 607. Prime factorization of 24887 in exponential form is:

24887 = 411 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 24879 and 24887.

LCM(24879,24887) = 31 × 82931 × 411 × 6071
LCM(24879,24887) = 619163673