Least Common Multiple of 9827 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 9827 and 9828 the smallest integer that is 96579756 that is divisible by both numbers.

Least Common Multiple (LCM) of 9827 and 9828 is 96579756.

LCM(9827,9828) = 96579756

LCM of 9827 and 9828

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

LCM of:
and

Least Common Multiple of 9827 and 9828

LCM of 9827 and 9828 is 96579756

Least common multiple can be found by multiplying the highest exponent prime factors of 9827 and 9828. First we will calculate the prime factors of 9827 and 9828.

Prime Factorization of 9827


31 9827
317 317
1

Prime factors of 9827 are 31,317. Prime factorization of 9827 in exponential form is:

9827 = 311×3171

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 9827 and 9828.

LCM(9827,9828) = 22×33×71×131×311×3171
LCM(9827,9828) = 96579756

Factors of 9827

List of positive integer factors of 9827 that divides 9827 without a remainder.

1, 31, 317, 9827

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 9827 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 9827 and 9828, than apply into the LCM equation.

GCF(9827,9828) = 1
LCM(9827,9828) = ( 9827 × 9828) / 1
LCM(9827,9828) = 96579756 / 1
LCM(9827,9828) = 96579756

Properties of LCM 9827 and 9828

(i) The LCM of 9828 and 9827 is associative

LCM of 9827 and 9828 = LCM of 9828 and 9827

Related Least Common Multiples of 9827

Related Least Common Multiples of 9828

Frequently Asked Questions on LCM of 9827 and 9828

1. What is the LCM of 9827 and 9828?

Answer: LCM of 9827 and 9828 is 96579756.

2. What are the Factors of 9827?

Answer: Factors of 9827 are 1, 31, 317, 9827. There are 4 integers that are factors of 9827. The greatest factor of 9827 is 9827.

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 9827 and 9828?

Answer:

Least Common Multiple of 9827 and 9828 = 96579756

Step 1: Find the prime factorization of 9827

9827 = 31 x 317

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 = 96579756 = 2 x 2 x 3 x 3 x 3 x 7 x 13 x 31 x 317

Step 4: Therefore, the least common multiple of 9827 and 9828 is 96579756.