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What is the Least Common Multiple of 9856 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 9856 and 9873 is 97308288.

LCM(9856,9873) = 97308288

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Least Common Multiple of 9856 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 9856 and 9873, than apply into the LCM equation.

GCF(9856,9873) = 1
LCM(9856,9873) = ( 9856 × 9873) / 1
LCM(9856,9873) = 97308288 / 1
LCM(9856,9873) = 97308288

Least Common Multiple (LCM) of 9856 and 9873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9856 and 9873. First we will calculate the prime factors of 9856 and 9873.

Prime Factorization of 9856

Prime factors of 9856 are 2, 7, 11. Prime factorization of 9856 in exponential form is:

9856 = 27 × 71 × 111

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 9856 and 9873.

LCM(9856,9873) = 27 × 71 × 111 × 32 × 10971
LCM(9856,9873) = 97308288