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What is the Least Common Multiple of 25861 and 25878?

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 25861 and 25878 is 669230958.

LCM(25861,25878) = 669230958

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Least Common Multiple of 25861 and 25878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25861 and 25878, than apply into the LCM equation.

GCF(25861,25878) = 1
LCM(25861,25878) = ( 25861 × 25878) / 1
LCM(25861,25878) = 669230958 / 1
LCM(25861,25878) = 669230958

Least Common Multiple (LCM) of 25861 and 25878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25861 and 25878. First we will calculate the prime factors of 25861 and 25878.

Prime Factorization of 25861

Prime factors of 25861 are 11, 2351. Prime factorization of 25861 in exponential form is:

25861 = 111 × 23511

Prime Factorization of 25878

Prime factors of 25878 are 2, 3, 19, 227. Prime factorization of 25878 in exponential form is:

25878 = 21 × 31 × 191 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 25861 and 25878.

LCM(25861,25878) = 111 × 23511 × 21 × 31 × 191 × 2271
LCM(25861,25878) = 669230958