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What is the Least Common Multiple of 25195 and 25207?

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 25195 and 25207 is 635090365.

LCM(25195,25207) = 635090365

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Least Common Multiple of 25195 and 25207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25195 and 25207, than apply into the LCM equation.

GCF(25195,25207) = 1
LCM(25195,25207) = ( 25195 × 25207) / 1
LCM(25195,25207) = 635090365 / 1
LCM(25195,25207) = 635090365

Least Common Multiple (LCM) of 25195 and 25207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25195 and 25207. First we will calculate the prime factors of 25195 and 25207.

Prime Factorization of 25195

Prime factors of 25195 are 5, 5039. Prime factorization of 25195 in exponential form is:

25195 = 51 × 50391

Prime Factorization of 25207

Prime factors of 25207 are 7, 13, 277. Prime factorization of 25207 in exponential form is:

25207 = 71 × 131 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 25195 and 25207.

LCM(25195,25207) = 51 × 50391 × 71 × 131 × 2771
LCM(25195,25207) = 635090365