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What is the Least Common Multiple of 25184 and 25195?

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 25184 and 25195 is 634510880.

LCM(25184,25195) = 634510880

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Least Common Multiple of 25184 and 25195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25184 and 25195, than apply into the LCM equation.

GCF(25184,25195) = 1
LCM(25184,25195) = ( 25184 × 25195) / 1
LCM(25184,25195) = 634510880 / 1
LCM(25184,25195) = 634510880

Least Common Multiple (LCM) of 25184 and 25195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25184 and 25195. First we will calculate the prime factors of 25184 and 25195.

Prime Factorization of 25184

Prime factors of 25184 are 2, 787. Prime factorization of 25184 in exponential form is:

25184 = 25 × 7871

Prime Factorization of 25195

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

25195 = 51 × 50391

Now multiplying the highest exponent prime factors to calculate the LCM of 25184 and 25195.

LCM(25184,25195) = 25 × 7871 × 51 × 50391
LCM(25184,25195) = 634510880