Least Common Multiple of 9823 and 9829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9823 and 9829 the smallest integer that is 96550267 that is divisible by both numbers.

Least Common Multiple (LCM) of 9823 and 9829 is 96550267.

LCM(9823,9829) = 96550267

LCM of 9823 and 9829

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9823 and 9829

LCM of 9823 and 9829 is 96550267

Least common multiple can be found by multiplying the highest exponent prime factors of 9823 and 9829. First we will calculate the prime factors of 9823 and 9829.

Prime Factorization of 9823


11 9823
19 893
47 47
1

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

9823 = 111×191×471

Prime Factorization of 9829


9829 9829
1

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 9823 and 9829.

LCM(9823,9829) = 111×191×471×98291
LCM(9823,9829) = 96550267

Factors of 9823

List of positive integer factors of 9823 that divides 9823 without a remainder.

1, 11, 19, 47, 209, 517, 893, 9823

Factors of 9829

List of positive integer factors of 9829 that divides 9829 without a remainder.

1, 9829

Least Common Multiple of 9823 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 9823 and 9829, than apply into the LCM equation.

GCF(9823,9829) = 1
LCM(9823,9829) = ( 9823 × 9829) / 1
LCM(9823,9829) = 96550267 / 1
LCM(9823,9829) = 96550267

Properties of LCM 9823 and 9829

(i) The LCM of 9829 and 9823 is associative

LCM of 9823 and 9829 = LCM of 9829 and 9823

Related Least Common Multiples of 9823

Related Least Common Multiples of 9829

Frequently Asked Questions on LCM of 9823 and 9829

1. What is the LCM of 9823 and 9829?

Answer: LCM of 9823 and 9829 is 96550267.

2. What are the Factors of 9823?

Answer: Factors of 9823 are 1, 11, 19, 47, 209, 517, 893, 9823. There are 8 integers that are factors of 9823. The greatest factor of 9823 is 9823.

3. What are the Factors of 9829?

Answer: Factors of 9829 are 1, 9829. There are 2 integers that are factors of 9829. The greatest factor of 9829 is 9829.

4. How to Find the LCM of 9823 and 9829?

Answer:

Least Common Multiple of 9823 and 9829 = 96550267

Step 1: Find the prime factorization of 9823

9823 = 11 x 19 x 47

Step 2: Find the prime factorization of 9829

9829 = 9829

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 96550267 = 11 x 19 x 47 x 9829

Step 4: Therefore, the least common multiple of 9823 and 9829 is 96550267.