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What is the Least Common Multiple of 25376 and 25395?

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 25376 and 25395 is 644423520.

LCM(25376,25395) = 644423520

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Least Common Multiple of 25376 and 25395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25376 and 25395, than apply into the LCM equation.

GCF(25376,25395) = 1
LCM(25376,25395) = ( 25376 × 25395) / 1
LCM(25376,25395) = 644423520 / 1
LCM(25376,25395) = 644423520

Least Common Multiple (LCM) of 25376 and 25395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25376 and 25395. First we will calculate the prime factors of 25376 and 25395.

Prime Factorization of 25376

Prime factors of 25376 are 2, 13, 61. Prime factorization of 25376 in exponential form is:

25376 = 25 × 131 × 611

Prime Factorization of 25395

Prime factors of 25395 are 3, 5, 1693. Prime factorization of 25395 in exponential form is:

25395 = 31 × 51 × 16931

Now multiplying the highest exponent prime factors to calculate the LCM of 25376 and 25395.

LCM(25376,25395) = 25 × 131 × 611 × 31 × 51 × 16931
LCM(25376,25395) = 644423520