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What is the Least Common Multiple of 9798 and 9813?

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 9798 and 9813 is 32049258.

LCM(9798,9813) = 32049258

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Least Common Multiple of 9798 and 9813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9798 and 9813, than apply into the LCM equation.

GCF(9798,9813) = 3
LCM(9798,9813) = ( 9798 × 9813) / 3
LCM(9798,9813) = 96147774 / 3
LCM(9798,9813) = 32049258

Least Common Multiple (LCM) of 9798 and 9813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9798 and 9813. First we will calculate the prime factors of 9798 and 9813.

Prime Factorization of 9798

Prime factors of 9798 are 2, 3, 23, 71. Prime factorization of 9798 in exponential form is:

9798 = 21 × 31 × 231 × 711

Prime Factorization of 9813

Prime factors of 9813 are 3, 3271. Prime factorization of 9813 in exponential form is:

9813 = 31 × 32711

Now multiplying the highest exponent prime factors to calculate the LCM of 9798 and 9813.

LCM(9798,9813) = 21 × 31 × 231 × 711 × 32711
LCM(9798,9813) = 32049258