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What is the Least Common Multiple of 5835 and 5848?

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 5835 and 5848 is 34123080.

LCM(5835,5848) = 34123080

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Least Common Multiple of 5835 and 5848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5835 and 5848, than apply into the LCM equation.

GCF(5835,5848) = 1
LCM(5835,5848) = ( 5835 × 5848) / 1
LCM(5835,5848) = 34123080 / 1
LCM(5835,5848) = 34123080

Least Common Multiple (LCM) of 5835 and 5848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5835 and 5848. First we will calculate the prime factors of 5835 and 5848.

Prime Factorization of 5835

Prime factors of 5835 are 3, 5, 389. Prime factorization of 5835 in exponential form is:

5835 = 31 × 51 × 3891

Prime Factorization of 5848

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

5848 = 23 × 171 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 5835 and 5848.

LCM(5835,5848) = 31 × 51 × 3891 × 23 × 171 × 431
LCM(5835,5848) = 34123080