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What is the Least Common Multiple of 25891 and 25911?

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 25891 and 25911 is 670861701.

LCM(25891,25911) = 670861701

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Least Common Multiple of 25891 and 25911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25891 and 25911, than apply into the LCM equation.

GCF(25891,25911) = 1
LCM(25891,25911) = ( 25891 × 25911) / 1
LCM(25891,25911) = 670861701 / 1
LCM(25891,25911) = 670861701

Least Common Multiple (LCM) of 25891 and 25911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25891 and 25911. First we will calculate the prime factors of 25891 and 25911.

Prime Factorization of 25891

Prime factors of 25891 are 17, 1523. Prime factorization of 25891 in exponential form is:

25891 = 171 × 15231

Prime Factorization of 25911

Prime factors of 25911 are 3, 2879. Prime factorization of 25911 in exponential form is:

25911 = 32 × 28791

Now multiplying the highest exponent prime factors to calculate the LCM of 25891 and 25911.

LCM(25891,25911) = 171 × 15231 × 32 × 28791
LCM(25891,25911) = 670861701