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What is the Least Common Multiple of 25375 and 25385?

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 25375 and 25385 is 128828875.

LCM(25375,25385) = 128828875

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Least Common Multiple of 25375 and 25385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25375 and 25385, than apply into the LCM equation.

GCF(25375,25385) = 5
LCM(25375,25385) = ( 25375 × 25385) / 5
LCM(25375,25385) = 644144375 / 5
LCM(25375,25385) = 128828875

Least Common Multiple (LCM) of 25375 and 25385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25375 and 25385. First we will calculate the prime factors of 25375 and 25385.

Prime Factorization of 25375

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

25375 = 53 × 71 × 291

Prime Factorization of 25385

Prime factors of 25385 are 5, 5077. Prime factorization of 25385 in exponential form is:

25385 = 51 × 50771

Now multiplying the highest exponent prime factors to calculate the LCM of 25375 and 25385.

LCM(25375,25385) = 53 × 71 × 291 × 50771
LCM(25375,25385) = 128828875