Least Common Multiple of 9824 and 9828

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 9828 the smallest integer that is 24137568 that is divisible by both numbers.

Least Common Multiple (LCM) of 9824 and 9828 is 24137568.

LCM(9824,9828) = 24137568

LCM of 9824 and 9828

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

LCM of:
and

Least Common Multiple of 9824 and 9828

LCM of 9824 and 9828 is 24137568

Least common multiple can be found by multiplying the highest exponent prime factors of 9824 and 9828. First we will calculate the prime factors of 9824 and 9828.

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 9828


2 9828
2 4914
3 2457
3 819
3 273
7 91
13 13
1

Prime factors of 9828 are 2, 3, 7,13. Prime factorization of 9828 in exponential form is:

9828 = 22×33×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 9824 and 9828.

LCM(9824,9828) = 25×33×71×131×3071
LCM(9824,9828) = 24137568

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 9828

List of positive integer factors of 9828 that divides 9828 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914, 9828

Least Common Multiple of 9824 and 9828 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 9828, than apply into the LCM equation.

GCF(9824,9828) = 4
LCM(9824,9828) = ( 9824 × 9828) / 4
LCM(9824,9828) = 96550272 / 4
LCM(9824,9828) = 24137568

Properties of LCM 9824 and 9828

(i) The LCM of 9828 and 9824 is associative

LCM of 9824 and 9828 = LCM of 9828 and 9824

Related Least Common Multiples of 9824

Related Least Common Multiples of 9828

Frequently Asked Questions on LCM of 9824 and 9828

1. What is the LCM of 9824 and 9828?

Answer: LCM of 9824 and 9828 is 24137568.

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 9828?

Answer: Factors of 9828 are 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914, 9828. There are 48 integers that are factors of 9828. The greatest factor of 9828 is 9828.

4. How to Find the LCM of 9824 and 9828?

Answer:

Least Common Multiple of 9824 and 9828 = 24137568

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 9828

9828 = 2 x 2 x 3 x 3 x 3 x 7 x 13

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

LCM = 24137568 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 13 x 307

Step 4: Therefore, the least common multiple of 9824 and 9828 is 24137568.