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What is the Least Common Multiple of 24833 and 24841?

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 24833 and 24841 is 616876553.

LCM(24833,24841) = 616876553

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Least Common Multiple of 24833 and 24841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24833 and 24841, than apply into the LCM equation.

GCF(24833,24841) = 1
LCM(24833,24841) = ( 24833 × 24841) / 1
LCM(24833,24841) = 616876553 / 1
LCM(24833,24841) = 616876553

Least Common Multiple (LCM) of 24833 and 24841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24833 and 24841. First we will calculate the prime factors of 24833 and 24841.

Prime Factorization of 24833

Prime factors of 24833 are 19, 1307. Prime factorization of 24833 in exponential form is:

24833 = 191 × 13071

Prime Factorization of 24841

Prime factors of 24841 are 24841. Prime factorization of 24841 in exponential form is:

24841 = 248411

Now multiplying the highest exponent prime factors to calculate the LCM of 24833 and 24841.

LCM(24833,24841) = 191 × 13071 × 248411
LCM(24833,24841) = 616876553