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What is the Least Common Multiple of 25189 and 25203?

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 25189 and 25203 is 634838367.

LCM(25189,25203) = 634838367

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Least Common Multiple of 25189 and 25203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25189 and 25203, than apply into the LCM equation.

GCF(25189,25203) = 1
LCM(25189,25203) = ( 25189 × 25203) / 1
LCM(25189,25203) = 634838367 / 1
LCM(25189,25203) = 634838367

Least Common Multiple (LCM) of 25189 and 25203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25189 and 25203. First we will calculate the prime factors of 25189 and 25203.

Prime Factorization of 25189

Prime factors of 25189 are 25189. Prime factorization of 25189 in exponential form is:

25189 = 251891

Prime Factorization of 25203

Prime factors of 25203 are 3, 31, 271. Prime factorization of 25203 in exponential form is:

25203 = 31 × 311 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 25189 and 25203.

LCM(25189,25203) = 251891 × 31 × 311 × 2711
LCM(25189,25203) = 634838367