Least Common Multiple of 9828 and 9832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9828 and 9832 the smallest integer that is 24157224 that is divisible by both numbers.

Least Common Multiple (LCM) of 9828 and 9832 is 24157224.

LCM(9828,9832) = 24157224

LCM of 9828 and 9832

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

LCM of:
and

Least Common Multiple of 9828 and 9832

LCM of 9828 and 9832 is 24157224

Least common multiple can be found by multiplying the highest exponent prime factors of 9828 and 9832. First we will calculate the prime factors of 9828 and 9832.

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

Prime Factorization of 9832


2 9832
2 4916
2 2458
1229 1229
1

Prime factors of 9832 are 2,1229. Prime factorization of 9832 in exponential form is:

9832 = 23×12291

Now multiplying the highest exponent prime factors to calculate the LCM of 9828 and 9832.

LCM(9828,9832) = 23×33×71×131×12291
LCM(9828,9832) = 24157224

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

Factors of 9832

List of positive integer factors of 9832 that divides 9832 without a remainder.

1, 2, 4, 8, 1229, 2458, 4916, 9832

Least Common Multiple of 9828 and 9832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9828 and 9832, than apply into the LCM equation.

GCF(9828,9832) = 4
LCM(9828,9832) = ( 9828 × 9832) / 4
LCM(9828,9832) = 96628896 / 4
LCM(9828,9832) = 24157224

Properties of LCM 9828 and 9832

(i) The LCM of 9832 and 9828 is associative

LCM of 9828 and 9832 = LCM of 9832 and 9828

Related Least Common Multiples of 9828

Related Least Common Multiples of 9832

Frequently Asked Questions on LCM of 9828 and 9832

1. What is the LCM of 9828 and 9832?

Answer: LCM of 9828 and 9832 is 24157224.

2. 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.

3. What are the Factors of 9832?

Answer: Factors of 9832 are 1, 2, 4, 8, 1229, 2458, 4916, 9832. There are 8 integers that are factors of 9832. The greatest factor of 9832 is 9832.

4. How to Find the LCM of 9828 and 9832?

Answer:

Least Common Multiple of 9828 and 9832 = 24157224

Step 1: Find the prime factorization of 9828

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

Step 2: Find the prime factorization of 9832

9832 = 2 x 2 x 2 x 1229

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

LCM = 24157224 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 13 x 1229

Step 4: Therefore, the least common multiple of 9828 and 9832 is 24157224.