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What is the Least Common Multiple of 25267 and 25283?

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 25267 and 25283 is 638825561.

LCM(25267,25283) = 638825561

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Least Common Multiple of 25267 and 25283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25267 and 25283, than apply into the LCM equation.

GCF(25267,25283) = 1
LCM(25267,25283) = ( 25267 × 25283) / 1
LCM(25267,25283) = 638825561 / 1
LCM(25267,25283) = 638825561

Least Common Multiple (LCM) of 25267 and 25283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25267 and 25283. First we will calculate the prime factors of 25267 and 25283.

Prime Factorization of 25267

Prime factors of 25267 are 11, 2297. Prime factorization of 25267 in exponential form is:

25267 = 111 × 22971

Prime Factorization of 25283

Prime factors of 25283 are 131, 193. Prime factorization of 25283 in exponential form is:

25283 = 1311 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 25267 and 25283.

LCM(25267,25283) = 111 × 22971 × 1311 × 1931
LCM(25267,25283) = 638825561