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What is the Least Common Multiple of 25257 and 25271?

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 25257 and 25271 is 638269647.

LCM(25257,25271) = 638269647

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Least Common Multiple of 25257 and 25271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25257 and 25271, than apply into the LCM equation.

GCF(25257,25271) = 1
LCM(25257,25271) = ( 25257 × 25271) / 1
LCM(25257,25271) = 638269647 / 1
LCM(25257,25271) = 638269647

Least Common Multiple (LCM) of 25257 and 25271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25257 and 25271. First we will calculate the prime factors of 25257 and 25271.

Prime Factorization of 25257

Prime factors of 25257 are 3, 8419. Prime factorization of 25257 in exponential form is:

25257 = 31 × 84191

Prime Factorization of 25271

Prime factors of 25271 are 37, 683. Prime factorization of 25271 in exponential form is:

25271 = 371 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 25257 and 25271.

LCM(25257,25271) = 31 × 84191 × 371 × 6831
LCM(25257,25271) = 638269647