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What is the Least Common Multiple of 25233 and 25249?

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 25233 and 25249 is 637108017.

LCM(25233,25249) = 637108017

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Least Common Multiple of 25233 and 25249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25233 and 25249, than apply into the LCM equation.

GCF(25233,25249) = 1
LCM(25233,25249) = ( 25233 × 25249) / 1
LCM(25233,25249) = 637108017 / 1
LCM(25233,25249) = 637108017

Least Common Multiple (LCM) of 25233 and 25249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25233 and 25249. First we will calculate the prime factors of 25233 and 25249.

Prime Factorization of 25233

Prime factors of 25233 are 3, 13, 647. Prime factorization of 25233 in exponential form is:

25233 = 31 × 131 × 6471

Prime Factorization of 25249

Prime factors of 25249 are 7, 3607. Prime factorization of 25249 in exponential form is:

25249 = 71 × 36071

Now multiplying the highest exponent prime factors to calculate the LCM of 25233 and 25249.

LCM(25233,25249) = 31 × 131 × 6471 × 71 × 36071
LCM(25233,25249) = 637108017