Least Common Multiple of 9824 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 9824 and 9829 the smallest integer that is 96560096 that is divisible by both numbers.

Least Common Multiple (LCM) of 9824 and 9829 is 96560096.

LCM(9824,9829) = 96560096

LCM of 9824 and 9829

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

LCM of:
and

Least Common Multiple of 9824 and 9829

LCM of 9824 and 9829 is 96560096

Least common multiple can be found by multiplying the highest exponent prime factors of 9824 and 9829. First we will calculate the prime factors of 9824 and 9829.

Prime Factorization of 9824


2 9824
2 4912
2 2456
2 1228
2 614
307 307
1

Prime factors of 9824 are 2,307. Prime factorization of 9824 in exponential form is:

9824 = 25×3071

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 9824 and 9829.

LCM(9824,9829) = 25×3071×98291
LCM(9824,9829) = 96560096

Factors of 9824

List of positive integer factors of 9824 that divides 9824 without a remainder.

1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912, 9824

Factors of 9829

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

1, 9829

Least Common Multiple of 9824 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 9824 and 9829, than apply into the LCM equation.

GCF(9824,9829) = 1
LCM(9824,9829) = ( 9824 × 9829) / 1
LCM(9824,9829) = 96560096 / 1
LCM(9824,9829) = 96560096

Properties of LCM 9824 and 9829

(i) The LCM of 9829 and 9824 is associative

LCM of 9824 and 9829 = LCM of 9829 and 9824

Related Least Common Multiples of 9824

Related Least Common Multiples of 9829

Frequently Asked Questions on LCM of 9824 and 9829

1. What is the LCM of 9824 and 9829?

Answer: LCM of 9824 and 9829 is 96560096.

2. What are the Factors of 9824?

Answer: Factors of 9824 are 1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912, 9824. There are 12 integers that are factors of 9824. The greatest factor of 9824 is 9824.

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 9824 and 9829?

Answer:

Least Common Multiple of 9824 and 9829 = 96560096

Step 1: Find the prime factorization of 9824

9824 = 2 x 2 x 2 x 2 x 2 x 307

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 = 96560096 = 2 x 2 x 2 x 2 x 2 x 307 x 9829

Step 4: Therefore, the least common multiple of 9824 and 9829 is 96560096.