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What is the Least Common Multiple of 5848 and 5857?

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 5848 and 5857 is 34251736.

LCM(5848,5857) = 34251736

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Least Common Multiple of 5848 and 5857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5848 and 5857, than apply into the LCM equation.

GCF(5848,5857) = 1
LCM(5848,5857) = ( 5848 × 5857) / 1
LCM(5848,5857) = 34251736 / 1
LCM(5848,5857) = 34251736

Least Common Multiple (LCM) of 5848 and 5857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5848 and 5857. First we will calculate the prime factors of 5848 and 5857.

Prime Factorization of 5848

Prime factors of 5848 are 2, 17, 43. Prime factorization of 5848 in exponential form is:

5848 = 23 × 171 × 431

Prime Factorization of 5857

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

5857 = 58571

Now multiplying the highest exponent prime factors to calculate the LCM of 5848 and 5857.

LCM(5848,5857) = 23 × 171 × 431 × 58571
LCM(5848,5857) = 34251736