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What is the Least Common Multiple of 5844 and 5863?

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 5844 and 5863 is 34263372.

LCM(5844,5863) = 34263372

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Least Common Multiple of 5844 and 5863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5844 and 5863, than apply into the LCM equation.

GCF(5844,5863) = 1
LCM(5844,5863) = ( 5844 × 5863) / 1
LCM(5844,5863) = 34263372 / 1
LCM(5844,5863) = 34263372

Least Common Multiple (LCM) of 5844 and 5863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5844 and 5863. First we will calculate the prime factors of 5844 and 5863.

Prime Factorization of 5844

Prime factors of 5844 are 2, 3, 487. Prime factorization of 5844 in exponential form is:

5844 = 22 × 31 × 4871

Prime Factorization of 5863

Prime factors of 5863 are 11, 13, 41. Prime factorization of 5863 in exponential form is:

5863 = 111 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 5844 and 5863.

LCM(5844,5863) = 22 × 31 × 4871 × 111 × 131 × 411
LCM(5844,5863) = 34263372