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What is the Least Common Multiple of 5840 and 5849?

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 5840 and 5849 is 34158160.

LCM(5840,5849) = 34158160

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Least Common Multiple of 5840 and 5849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5840 and 5849, than apply into the LCM equation.

GCF(5840,5849) = 1
LCM(5840,5849) = ( 5840 × 5849) / 1
LCM(5840,5849) = 34158160 / 1
LCM(5840,5849) = 34158160

Least Common Multiple (LCM) of 5840 and 5849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5840 and 5849. First we will calculate the prime factors of 5840 and 5849.

Prime Factorization of 5840

Prime factors of 5840 are 2, 5, 73. Prime factorization of 5840 in exponential form is:

5840 = 24 × 51 × 731

Prime Factorization of 5849

Prime factors of 5849 are 5849. Prime factorization of 5849 in exponential form is:

5849 = 58491

Now multiplying the highest exponent prime factors to calculate the LCM of 5840 and 5849.

LCM(5840,5849) = 24 × 51 × 731 × 58491
LCM(5840,5849) = 34158160