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What is the Least Common Multiple of 25285 and 25301?

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 25285 and 25301 is 639735785.

LCM(25285,25301) = 639735785

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Least Common Multiple of 25285 and 25301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25285 and 25301, than apply into the LCM equation.

GCF(25285,25301) = 1
LCM(25285,25301) = ( 25285 × 25301) / 1
LCM(25285,25301) = 639735785 / 1
LCM(25285,25301) = 639735785

Least Common Multiple (LCM) of 25285 and 25301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25285 and 25301. First we will calculate the prime factors of 25285 and 25301.

Prime Factorization of 25285

Prime factors of 25285 are 5, 13, 389. Prime factorization of 25285 in exponential form is:

25285 = 51 × 131 × 3891

Prime Factorization of 25301

Prime factors of 25301 are 25301. Prime factorization of 25301 in exponential form is:

25301 = 253011

Now multiplying the highest exponent prime factors to calculate the LCM of 25285 and 25301.

LCM(25285,25301) = 51 × 131 × 3891 × 253011
LCM(25285,25301) = 639735785