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What is the Least Common Multiple of 9823 and 9843?

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 9823 and 9843 is 96687789.

LCM(9823,9843) = 96687789

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Least Common Multiple of 9823 and 9843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9823 and 9843, than apply into the LCM equation.

GCF(9823,9843) = 1
LCM(9823,9843) = ( 9823 × 9843) / 1
LCM(9823,9843) = 96687789 / 1
LCM(9823,9843) = 96687789

Least Common Multiple (LCM) of 9823 and 9843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9823 and 9843. First we will calculate the prime factors of 9823 and 9843.

Prime Factorization of 9823

Prime factors of 9823 are 11, 19, 47. Prime factorization of 9823 in exponential form is:

9823 = 111 × 191 × 471

Prime Factorization of 9843

Prime factors of 9843 are 3, 17, 193. Prime factorization of 9843 in exponential form is:

9843 = 31 × 171 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 9823 and 9843.

LCM(9823,9843) = 111 × 191 × 471 × 31 × 171 × 1931
LCM(9823,9843) = 96687789