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What is the Least Common Multiple of 5814 and 5833?

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 5814 and 5833 is 1784898.

LCM(5814,5833) = 1784898

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Least Common Multiple of 5814 and 5833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5814 and 5833, than apply into the LCM equation.

GCF(5814,5833) = 19
LCM(5814,5833) = ( 5814 × 5833) / 19
LCM(5814,5833) = 33913062 / 19
LCM(5814,5833) = 1784898

Least Common Multiple (LCM) of 5814 and 5833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5814 and 5833. First we will calculate the prime factors of 5814 and 5833.

Prime Factorization of 5814

Prime factors of 5814 are 2, 3, 17, 19. Prime factorization of 5814 in exponential form is:

5814 = 21 × 32 × 171 × 191

Prime Factorization of 5833

Prime factors of 5833 are 19, 307. Prime factorization of 5833 in exponential form is:

5833 = 191 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 5814 and 5833.

LCM(5814,5833) = 21 × 32 × 171 × 191 × 3071
LCM(5814,5833) = 1784898