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What is the Least Common Multiple of 25171 and 25191?

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 25171 and 25191 is 634082661.

LCM(25171,25191) = 634082661

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Least Common Multiple of 25171 and 25191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25171 and 25191, than apply into the LCM equation.

GCF(25171,25191) = 1
LCM(25171,25191) = ( 25171 × 25191) / 1
LCM(25171,25191) = 634082661 / 1
LCM(25171,25191) = 634082661

Least Common Multiple (LCM) of 25171 and 25191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25171 and 25191. First we will calculate the prime factors of 25171 and 25191.

Prime Factorization of 25171

Prime factors of 25171 are 25171. Prime factorization of 25171 in exponential form is:

25171 = 251711

Prime Factorization of 25191

Prime factors of 25191 are 3, 311. Prime factorization of 25191 in exponential form is:

25191 = 34 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 25171 and 25191.

LCM(25171,25191) = 251711 × 34 × 3111
LCM(25171,25191) = 634082661