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What is the Least Common Multiple of 5857 and 5865?

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 5857 and 5865 is 34351305.

LCM(5857,5865) = 34351305

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Least Common Multiple of 5857 and 5865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5857 and 5865, than apply into the LCM equation.

GCF(5857,5865) = 1
LCM(5857,5865) = ( 5857 × 5865) / 1
LCM(5857,5865) = 34351305 / 1
LCM(5857,5865) = 34351305

Least Common Multiple (LCM) of 5857 and 5865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5857 and 5865. First we will calculate the prime factors of 5857 and 5865.

Prime Factorization of 5857

Prime factors of 5857 are 5857. Prime factorization of 5857 in exponential form is:

5857 = 58571

Prime Factorization of 5865

Prime factors of 5865 are 3, 5, 17, 23. Prime factorization of 5865 in exponential form is:

5865 = 31 × 51 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 5857 and 5865.

LCM(5857,5865) = 58571 × 31 × 51 × 171 × 231
LCM(5857,5865) = 34351305