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What is the Least Common Multiple of 9803 and 9815?

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 9803 and 9815 is 96216445.

LCM(9803,9815) = 96216445

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Least Common Multiple of 9803 and 9815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9803 and 9815, than apply into the LCM equation.

GCF(9803,9815) = 1
LCM(9803,9815) = ( 9803 × 9815) / 1
LCM(9803,9815) = 96216445 / 1
LCM(9803,9815) = 96216445

Least Common Multiple (LCM) of 9803 and 9815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9803 and 9815. First we will calculate the prime factors of 9803 and 9815.

Prime Factorization of 9803

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

9803 = 98031

Prime Factorization of 9815

Prime factors of 9815 are 5, 13, 151. Prime factorization of 9815 in exponential form is:

9815 = 51 × 131 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 9803 and 9815.

LCM(9803,9815) = 98031 × 51 × 131 × 1511
LCM(9803,9815) = 96216445