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What is the Least Common Multiple of 9783 and 9799?

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 9783 and 9799 is 95863617.

LCM(9783,9799) = 95863617

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Least Common Multiple of 9783 and 9799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9783 and 9799, than apply into the LCM equation.

GCF(9783,9799) = 1
LCM(9783,9799) = ( 9783 × 9799) / 1
LCM(9783,9799) = 95863617 / 1
LCM(9783,9799) = 95863617

Least Common Multiple (LCM) of 9783 and 9799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9783 and 9799. First we will calculate the prime factors of 9783 and 9799.

Prime Factorization of 9783

Prime factors of 9783 are 3, 1087. Prime factorization of 9783 in exponential form is:

9783 = 32 × 10871

Prime Factorization of 9799

Prime factors of 9799 are 41, 239. Prime factorization of 9799 in exponential form is:

9799 = 411 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 9783 and 9799.

LCM(9783,9799) = 32 × 10871 × 411 × 2391
LCM(9783,9799) = 95863617