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What is the Least Common Multiple of 25357 and 25375?

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 25357 and 25375 is 643433875.

LCM(25357,25375) = 643433875

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Least Common Multiple of 25357 and 25375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25357 and 25375, than apply into the LCM equation.

GCF(25357,25375) = 1
LCM(25357,25375) = ( 25357 × 25375) / 1
LCM(25357,25375) = 643433875 / 1
LCM(25357,25375) = 643433875

Least Common Multiple (LCM) of 25357 and 25375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25357 and 25375. First we will calculate the prime factors of 25357 and 25375.

Prime Factorization of 25357

Prime factors of 25357 are 25357. Prime factorization of 25357 in exponential form is:

25357 = 253571

Prime Factorization of 25375

Prime factors of 25375 are 5, 7, 29. Prime factorization of 25375 in exponential form is:

25375 = 53 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 25357 and 25375.

LCM(25357,25375) = 253571 × 53 × 71 × 291
LCM(25357,25375) = 643433875