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What is the Least Common Multiple of 59833 and 59841?

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 59833 and 59841 is 3580466553.

LCM(59833,59841) = 3580466553

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Least Common Multiple of 59833 and 59841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59833 and 59841, than apply into the LCM equation.

GCF(59833,59841) = 1
LCM(59833,59841) = ( 59833 × 59841) / 1
LCM(59833,59841) = 3580466553 / 1
LCM(59833,59841) = 3580466553

Least Common Multiple (LCM) of 59833 and 59841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59833 and 59841. First we will calculate the prime factors of 59833 and 59841.

Prime Factorization of 59833

Prime factors of 59833 are 59833. Prime factorization of 59833 in exponential form is:

59833 = 598331

Prime Factorization of 59841

Prime factors of 59841 are 3, 61, 109. Prime factorization of 59841 in exponential form is:

59841 = 32 × 611 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 59833 and 59841.

LCM(59833,59841) = 598331 × 32 × 611 × 1091
LCM(59833,59841) = 3580466553