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What is the Least Common Multiple of 9794 and 9805?

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 9794 and 9805 is 96030170.

LCM(9794,9805) = 96030170

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Least Common Multiple of 9794 and 9805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9794 and 9805, than apply into the LCM equation.

GCF(9794,9805) = 1
LCM(9794,9805) = ( 9794 × 9805) / 1
LCM(9794,9805) = 96030170 / 1
LCM(9794,9805) = 96030170

Least Common Multiple (LCM) of 9794 and 9805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9794 and 9805. First we will calculate the prime factors of 9794 and 9805.

Prime Factorization of 9794

Prime factors of 9794 are 2, 59, 83. Prime factorization of 9794 in exponential form is:

9794 = 21 × 591 × 831

Prime Factorization of 9805

Prime factors of 9805 are 5, 37, 53. Prime factorization of 9805 in exponential form is:

9805 = 51 × 371 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 9794 and 9805.

LCM(9794,9805) = 21 × 591 × 831 × 51 × 371 × 531
LCM(9794,9805) = 96030170