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What is the Least Common Multiple of 24859 and 24879?

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 24879 is 618467061.

LCM(24859,24879) = 618467061

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Least Common Multiple of 24859 and 24879 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 24879, than apply into the LCM equation.

GCF(24859,24879) = 1
LCM(24859,24879) = ( 24859 × 24879) / 1
LCM(24859,24879) = 618467061 / 1
LCM(24859,24879) = 618467061

Least Common Multiple (LCM) of 24859 and 24879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24859 and 24879. First we will calculate the prime factors of 24859 and 24879.

Prime Factorization of 24859

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

24859 = 248591

Prime Factorization of 24879

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

24879 = 31 × 82931

Now multiplying the highest exponent prime factors to calculate the LCM of 24859 and 24879.

LCM(24859,24879) = 248591 × 31 × 82931
LCM(24859,24879) = 618467061