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What is the Least Common Multiple of 25445 and 25457?

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 25445 and 25457 is 647753365.

LCM(25445,25457) = 647753365

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Least Common Multiple of 25445 and 25457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25445 and 25457, than apply into the LCM equation.

GCF(25445,25457) = 1
LCM(25445,25457) = ( 25445 × 25457) / 1
LCM(25445,25457) = 647753365 / 1
LCM(25445,25457) = 647753365

Least Common Multiple (LCM) of 25445 and 25457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25445 and 25457. First we will calculate the prime factors of 25445 and 25457.

Prime Factorization of 25445

Prime factors of 25445 are 5, 7, 727. Prime factorization of 25445 in exponential form is:

25445 = 51 × 71 × 7271

Prime Factorization of 25457

Prime factors of 25457 are 25457. Prime factorization of 25457 in exponential form is:

25457 = 254571

Now multiplying the highest exponent prime factors to calculate the LCM of 25445 and 25457.

LCM(25445,25457) = 51 × 71 × 7271 × 254571
LCM(25445,25457) = 647753365