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What is the Least Common Multiple of 25675 and 25681?

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 25675 and 25681 is 659359675.

LCM(25675,25681) = 659359675

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Least Common Multiple of 25675 and 25681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25675 and 25681, than apply into the LCM equation.

GCF(25675,25681) = 1
LCM(25675,25681) = ( 25675 × 25681) / 1
LCM(25675,25681) = 659359675 / 1
LCM(25675,25681) = 659359675

Least Common Multiple (LCM) of 25675 and 25681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25675 and 25681. First we will calculate the prime factors of 25675 and 25681.

Prime Factorization of 25675

Prime factors of 25675 are 5, 13, 79. Prime factorization of 25675 in exponential form is:

25675 = 52 × 131 × 791

Prime Factorization of 25681

Prime factors of 25681 are 61, 421. Prime factorization of 25681 in exponential form is:

25681 = 611 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 25675 and 25681.

LCM(25675,25681) = 52 × 131 × 791 × 611 × 4211
LCM(25675,25681) = 659359675