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What is the Least Common Multiple of 5838 and 5844?

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 5838 and 5844 is 5686212.

LCM(5838,5844) = 5686212

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Least Common Multiple of 5838 and 5844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5838 and 5844, than apply into the LCM equation.

GCF(5838,5844) = 6
LCM(5838,5844) = ( 5838 × 5844) / 6
LCM(5838,5844) = 34117272 / 6
LCM(5838,5844) = 5686212

Least Common Multiple (LCM) of 5838 and 5844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5838 and 5844. First we will calculate the prime factors of 5838 and 5844.

Prime Factorization of 5838

Prime factors of 5838 are 2, 3, 7, 139. Prime factorization of 5838 in exponential form is:

5838 = 21 × 31 × 71 × 1391

Prime Factorization of 5844

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

5844 = 22 × 31 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 5838 and 5844.

LCM(5838,5844) = 22 × 31 × 71 × 1391 × 4871
LCM(5838,5844) = 5686212