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What is the Least Common Multiple of 25261 and 25268?

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 25261 and 25268 is 638294948.

LCM(25261,25268) = 638294948

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Least Common Multiple of 25261 and 25268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25261 and 25268, than apply into the LCM equation.

GCF(25261,25268) = 1
LCM(25261,25268) = ( 25261 × 25268) / 1
LCM(25261,25268) = 638294948 / 1
LCM(25261,25268) = 638294948

Least Common Multiple (LCM) of 25261 and 25268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25261 and 25268. First we will calculate the prime factors of 25261 and 25268.

Prime Factorization of 25261

Prime factors of 25261 are 25261. Prime factorization of 25261 in exponential form is:

25261 = 252611

Prime Factorization of 25268

Prime factors of 25268 are 2, 6317. Prime factorization of 25268 in exponential form is:

25268 = 22 × 63171

Now multiplying the highest exponent prime factors to calculate the LCM of 25261 and 25268.

LCM(25261,25268) = 252611 × 22 × 63171
LCM(25261,25268) = 638294948