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What is the Least Common Multiple of 25287 and 25294?

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 25287 and 25294 is 639609378.

LCM(25287,25294) = 639609378

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Least Common Multiple of 25287 and 25294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25287 and 25294, than apply into the LCM equation.

GCF(25287,25294) = 1
LCM(25287,25294) = ( 25287 × 25294) / 1
LCM(25287,25294) = 639609378 / 1
LCM(25287,25294) = 639609378

Least Common Multiple (LCM) of 25287 and 25294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25287 and 25294. First we will calculate the prime factors of 25287 and 25294.

Prime Factorization of 25287

Prime factors of 25287 are 3, 8429. Prime factorization of 25287 in exponential form is:

25287 = 31 × 84291

Prime Factorization of 25294

Prime factors of 25294 are 2, 12647. Prime factorization of 25294 in exponential form is:

25294 = 21 × 126471

Now multiplying the highest exponent prime factors to calculate the LCM of 25287 and 25294.

LCM(25287,25294) = 31 × 84291 × 21 × 126471
LCM(25287,25294) = 639609378