Least Common Multiple of 9821 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 9821 and 9829 the smallest integer that is 96530609 that is divisible by both numbers.

Least Common Multiple (LCM) of 9821 and 9829 is 96530609.

LCM(9821,9829) = 96530609

LCM of 9821 and 9829

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

LCM of:
and

Least Common Multiple of 9821 and 9829

LCM of 9821 and 9829 is 96530609

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


7 9821
23 1403
61 61
1

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

9821 = 71×231×611

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 9821 and 9829.

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

Factors of 9821

List of positive integer factors of 9821 that divides 9821 without a remainder.

1, 7, 23, 61, 161, 427, 1403, 9821

Factors of 9829

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

1, 9829

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

Properties of LCM 9821 and 9829

(i) The LCM of 9829 and 9821 is associative

LCM of 9821 and 9829 = LCM of 9829 and 9821

Related Least Common Multiples of 9821

Related Least Common Multiples of 9829

Frequently Asked Questions on LCM of 9821 and 9829

1. What is the LCM of 9821 and 9829?

Answer: LCM of 9821 and 9829 is 96530609.

2. What are the Factors of 9821?

Answer: Factors of 9821 are 1, 7, 23, 61, 161, 427, 1403, 9821. There are 8 integers that are factors of 9821. The greatest factor of 9821 is 9821.

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 9821 and 9829?

Answer:

Least Common Multiple of 9821 and 9829 = 96530609

Step 1: Find the prime factorization of 9821

9821 = 7 x 23 x 61

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 = 96530609 = 7 x 23 x 61 x 9829

Step 4: Therefore, the least common multiple of 9821 and 9829 is 96530609.