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What is the Least Common Multiple of 9821 and 9829?

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 9821 and 9829 is 96530609.

LCM(9821,9829) = 96530609

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Least Common Multiple of 9821 and 9829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9821 and 9829, than apply into the LCM equation.

GCF(9821,9829) = 1
LCM(9821,9829) = ( 9821 × 9829) / 1
LCM(9821,9829) = 96530609 / 1
LCM(9821,9829) = 96530609

Least Common Multiple (LCM) of 9821 and 9829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9821 and 9829. First we will calculate the prime factors of 9821 and 9829.

Prime Factorization of 9821

Prime factors of 9821 are 7, 23, 61. Prime factorization of 9821 in exponential form is:

9821 = 71 × 231 × 611

Prime Factorization of 9829

Prime factors of 9829 are 9829. Prime factorization of 9829 in exponential form is:

9829 = 98291

Now multiplying the highest exponent prime factors to calculate the LCM of 9821 and 9829.

LCM(9821,9829) = 71 × 231 × 611 × 98291
LCM(9821,9829) = 96530609