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What is the Least Common Multiple of 25258 and 25269?

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 25258 and 25269 is 638244402.

LCM(25258,25269) = 638244402

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Least Common Multiple of 25258 and 25269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25258 and 25269, than apply into the LCM equation.

GCF(25258,25269) = 1
LCM(25258,25269) = ( 25258 × 25269) / 1
LCM(25258,25269) = 638244402 / 1
LCM(25258,25269) = 638244402

Least Common Multiple (LCM) of 25258 and 25269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25258 and 25269. First we will calculate the prime factors of 25258 and 25269.

Prime Factorization of 25258

Prime factors of 25258 are 2, 73, 173. Prime factorization of 25258 in exponential form is:

25258 = 21 × 731 × 1731

Prime Factorization of 25269

Prime factors of 25269 are 3, 8423. Prime factorization of 25269 in exponential form is:

25269 = 31 × 84231

Now multiplying the highest exponent prime factors to calculate the LCM of 25258 and 25269.

LCM(25258,25269) = 21 × 731 × 1731 × 31 × 84231
LCM(25258,25269) = 638244402