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What is the Least Common Multiple of 25882 and 25897?

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 25882 and 25897 is 670266154.

LCM(25882,25897) = 670266154

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Least Common Multiple of 25882 and 25897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25882 and 25897, than apply into the LCM equation.

GCF(25882,25897) = 1
LCM(25882,25897) = ( 25882 × 25897) / 1
LCM(25882,25897) = 670266154 / 1
LCM(25882,25897) = 670266154

Least Common Multiple (LCM) of 25882 and 25897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25882 and 25897. First we will calculate the prime factors of 25882 and 25897.

Prime Factorization of 25882

Prime factors of 25882 are 2, 12941. Prime factorization of 25882 in exponential form is:

25882 = 21 × 129411

Prime Factorization of 25897

Prime factors of 25897 are 19, 29, 47. Prime factorization of 25897 in exponential form is:

25897 = 191 × 291 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 25882 and 25897.

LCM(25882,25897) = 21 × 129411 × 191 × 291 × 471
LCM(25882,25897) = 670266154