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What is the Least Common Multiple of 25805 and 25825?

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 25805 and 25825 is 133282825.

LCM(25805,25825) = 133282825

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Least Common Multiple of 25805 and 25825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25805 and 25825, than apply into the LCM equation.

GCF(25805,25825) = 5
LCM(25805,25825) = ( 25805 × 25825) / 5
LCM(25805,25825) = 666414125 / 5
LCM(25805,25825) = 133282825

Least Common Multiple (LCM) of 25805 and 25825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25805 and 25825. First we will calculate the prime factors of 25805 and 25825.

Prime Factorization of 25805

Prime factors of 25805 are 5, 13, 397. Prime factorization of 25805 in exponential form is:

25805 = 51 × 131 × 3971

Prime Factorization of 25825

Prime factors of 25825 are 5, 1033. Prime factorization of 25825 in exponential form is:

25825 = 52 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 25805 and 25825.

LCM(25805,25825) = 52 × 131 × 3971 × 10331
LCM(25805,25825) = 133282825