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What is the Least Common Multiple of 9856 and 9865?

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 9865 is 97229440.

LCM(9856,9865) = 97229440

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Least Common Multiple of 9856 and 9865 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 9865, than apply into the LCM equation.

GCF(9856,9865) = 1
LCM(9856,9865) = ( 9856 × 9865) / 1
LCM(9856,9865) = 97229440 / 1
LCM(9856,9865) = 97229440

Least Common Multiple (LCM) of 9856 and 9865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9856 and 9865. First we will calculate the prime factors of 9856 and 9865.

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 9865

Prime factors of 9865 are 5, 1973. Prime factorization of 9865 in exponential form is:

9865 = 51 × 19731

Now multiplying the highest exponent prime factors to calculate the LCM of 9856 and 9865.

LCM(9856,9865) = 27 × 71 × 111 × 51 × 19731
LCM(9856,9865) = 97229440