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What is the Least Common Multiple of 9796 and 9803?

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 9796 and 9803 is 96030188.

LCM(9796,9803) = 96030188

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Least Common Multiple of 9796 and 9803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9796 and 9803, than apply into the LCM equation.

GCF(9796,9803) = 1
LCM(9796,9803) = ( 9796 × 9803) / 1
LCM(9796,9803) = 96030188 / 1
LCM(9796,9803) = 96030188

Least Common Multiple (LCM) of 9796 and 9803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9796 and 9803. First we will calculate the prime factors of 9796 and 9803.

Prime Factorization of 9796

Prime factors of 9796 are 2, 31, 79. Prime factorization of 9796 in exponential form is:

9796 = 22 × 311 × 791

Prime Factorization of 9803

Prime factors of 9803 are 9803. Prime factorization of 9803 in exponential form is:

9803 = 98031

Now multiplying the highest exponent prime factors to calculate the LCM of 9796 and 9803.

LCM(9796,9803) = 22 × 311 × 791 × 98031
LCM(9796,9803) = 96030188