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What is the Least Common Multiple of 25891 and 25901?

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 25901 is 670602791.

LCM(25891,25901) = 670602791

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Least Common Multiple of 25891 and 25901 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 25901, than apply into the LCM equation.

GCF(25891,25901) = 1
LCM(25891,25901) = ( 25891 × 25901) / 1
LCM(25891,25901) = 670602791 / 1
LCM(25891,25901) = 670602791

Least Common Multiple (LCM) of 25891 and 25901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25891 and 25901. First we will calculate the prime factors of 25891 and 25901.

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 25901

Prime factors of 25901 are 59, 439. Prime factorization of 25901 in exponential form is:

25901 = 591 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 25891 and 25901.

LCM(25891,25901) = 171 × 15231 × 591 × 4391
LCM(25891,25901) = 670602791