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What is the Least Common Multiple of 9853 and 9873?

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 9853 and 9873 is 97278669.

LCM(9853,9873) = 97278669

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Least Common Multiple of 9853 and 9873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9853 and 9873, than apply into the LCM equation.

GCF(9853,9873) = 1
LCM(9853,9873) = ( 9853 × 9873) / 1
LCM(9853,9873) = 97278669 / 1
LCM(9853,9873) = 97278669

Least Common Multiple (LCM) of 9853 and 9873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9853 and 9873. First we will calculate the prime factors of 9853 and 9873.

Prime Factorization of 9853

Prime factors of 9853 are 59, 167. Prime factorization of 9853 in exponential form is:

9853 = 591 × 1671

Prime Factorization of 9873

Prime factors of 9873 are 3, 1097. Prime factorization of 9873 in exponential form is:

9873 = 32 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 9853 and 9873.

LCM(9853,9873) = 591 × 1671 × 32 × 10971
LCM(9853,9873) = 97278669