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What is the Least Common Multiple of 5848 and 5856?

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 5856 is 4280736.

LCM(5848,5856) = 4280736

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Least Common Multiple of 5848 and 5856 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 5856, than apply into the LCM equation.

GCF(5848,5856) = 8
LCM(5848,5856) = ( 5848 × 5856) / 8
LCM(5848,5856) = 34245888 / 8
LCM(5848,5856) = 4280736

Least Common Multiple (LCM) of 5848 and 5856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5848 and 5856. First we will calculate the prime factors of 5848 and 5856.

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 5856

Prime factors of 5856 are 2, 3, 61. Prime factorization of 5856 in exponential form is:

5856 = 25 × 31 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 5848 and 5856.

LCM(5848,5856) = 25 × 171 × 431 × 31 × 611
LCM(5848,5856) = 4280736