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What is the Least Common Multiple of 25859 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 25859 and 25878 is 35219958.

LCM(25859,25878) = 35219958

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Least Common Multiple of 25859 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 25859 and 25878, than apply into the LCM equation.

GCF(25859,25878) = 19
LCM(25859,25878) = ( 25859 × 25878) / 19
LCM(25859,25878) = 669179202 / 19
LCM(25859,25878) = 35219958

Least Common Multiple (LCM) of 25859 and 25878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25859 and 25878. First we will calculate the prime factors of 25859 and 25878.

Prime Factorization of 25859

Prime factors of 25859 are 19, 1361. Prime factorization of 25859 in exponential form is:

25859 = 191 × 13611

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 25859 and 25878.

LCM(25859,25878) = 191 × 13611 × 21 × 31 × 2271
LCM(25859,25878) = 35219958