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What is the Least Common Multiple of 25261 and 25277?

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 25277 is 638522297.

LCM(25261,25277) = 638522297

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Least Common Multiple of 25261 and 25277 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 25277, than apply into the LCM equation.

GCF(25261,25277) = 1
LCM(25261,25277) = ( 25261 × 25277) / 1
LCM(25261,25277) = 638522297 / 1
LCM(25261,25277) = 638522297

Least Common Multiple (LCM) of 25261 and 25277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25261 and 25277. First we will calculate the prime factors of 25261 and 25277.

Prime Factorization of 25261

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

25261 = 252611

Prime Factorization of 25277

Prime factors of 25277 are 7, 23, 157. Prime factorization of 25277 in exponential form is:

25277 = 71 × 231 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 25261 and 25277.

LCM(25261,25277) = 252611 × 71 × 231 × 1571
LCM(25261,25277) = 638522297