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What is the Least Common Multiple of 5171 and 5191?

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 5171 and 5191 is 26842661.

LCM(5171,5191) = 26842661

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Least Common Multiple of 5171 and 5191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5171 and 5191, than apply into the LCM equation.

GCF(5171,5191) = 1
LCM(5171,5191) = ( 5171 × 5191) / 1
LCM(5171,5191) = 26842661 / 1
LCM(5171,5191) = 26842661

Least Common Multiple (LCM) of 5171 and 5191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5171 and 5191. First we will calculate the prime factors of 5171 and 5191.

Prime Factorization of 5171

Prime factors of 5171 are 5171. Prime factorization of 5171 in exponential form is:

5171 = 51711

Prime Factorization of 5191

Prime factors of 5191 are 29, 179. Prime factorization of 5191 in exponential form is:

5191 = 291 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 5171 and 5191.

LCM(5171,5191) = 51711 × 291 × 1791
LCM(5171,5191) = 26842661