Least Common Multiple of 9828 and 9836

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 9836 the smallest integer that is 24167052 that is divisible by both numbers.

Least Common Multiple (LCM) of 9828 and 9836 is 24167052.

LCM(9828,9836) = 24167052

LCM of 9828 and 9836

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

LCM of:
and

Least Common Multiple of 9828 and 9836

LCM of 9828 and 9836 is 24167052

Least common multiple can be found by multiplying the highest exponent prime factors of 9828 and 9836. First we will calculate the prime factors of 9828 and 9836.

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 9836


2 9836
2 4918
2459 2459
1

Prime factors of 9836 are 2,2459. Prime factorization of 9836 in exponential form is:

9836 = 22×24591

Now multiplying the highest exponent prime factors to calculate the LCM of 9828 and 9836.

LCM(9828,9836) = 22×33×71×131×24591
LCM(9828,9836) = 24167052

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 9836

List of positive integer factors of 9836 that divides 9836 without a remainder.

1, 2, 4, 2459, 4918, 9836

Least Common Multiple of 9828 and 9836 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 9836, than apply into the LCM equation.

GCF(9828,9836) = 4
LCM(9828,9836) = ( 9828 × 9836) / 4
LCM(9828,9836) = 96668208 / 4
LCM(9828,9836) = 24167052

Properties of LCM 9828 and 9836

(i) The LCM of 9836 and 9828 is associative

LCM of 9828 and 9836 = LCM of 9836 and 9828

Related Least Common Multiples of 9828

Related Least Common Multiples of 9836

Frequently Asked Questions on LCM of 9828 and 9836

1. What is the LCM of 9828 and 9836?

Answer: LCM of 9828 and 9836 is 24167052.

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 9836?

Answer: Factors of 9836 are 1, 2, 4, 2459, 4918, 9836. There are 6 integers that are factors of 9836. The greatest factor of 9836 is 9836.

4. How to Find the LCM of 9828 and 9836?

Answer:

Least Common Multiple of 9828 and 9836 = 24167052

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 9836

9836 = 2 x 2 x 2459

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

LCM = 24167052 = 2 x 2 x 3 x 3 x 3 x 7 x 13 x 2459

Step 4: Therefore, the least common multiple of 9828 and 9836 is 24167052.