Least Common Multiple of 9822 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 9822 and 9828 the smallest integer that is 16088436 that is divisible by both numbers.

Least Common Multiple (LCM) of 9822 and 9828 is 16088436.

LCM(9822,9828) = 16088436

LCM of 9822 and 9828

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

LCM of:
and

Least Common Multiple of 9822 and 9828

LCM of 9822 and 9828 is 16088436

Least common multiple can be found by multiplying the highest exponent prime factors of 9822 and 9828. First we will calculate the prime factors of 9822 and 9828.

Prime Factorization of 9822


2 9822
3 4911
1637 1637
1

Prime factors of 9822 are 2, 3,1637. Prime factorization of 9822 in exponential form is:

9822 = 21×31×16371

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 9822 and 9828.

LCM(9822,9828) = 22×33×71×131×16371
LCM(9822,9828) = 16088436

Factors of 9822

List of positive integer factors of 9822 that divides 9822 without a remainder.

1, 2, 3, 6, 1637, 3274, 4911, 9822

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 9822 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 9822 and 9828, than apply into the LCM equation.

GCF(9822,9828) = 6
LCM(9822,9828) = ( 9822 × 9828) / 6
LCM(9822,9828) = 96530616 / 6
LCM(9822,9828) = 16088436

Properties of LCM 9822 and 9828

(i) The LCM of 9828 and 9822 is associative

LCM of 9822 and 9828 = LCM of 9828 and 9822

Related Least Common Multiples of 9822

Related Least Common Multiples of 9828

Frequently Asked Questions on LCM of 9822 and 9828

1. What is the LCM of 9822 and 9828?

Answer: LCM of 9822 and 9828 is 16088436.

2. What are the Factors of 9822?

Answer: Factors of 9822 are 1, 2, 3, 6, 1637, 3274, 4911, 9822. There are 8 integers that are factors of 9822. The greatest factor of 9822 is 9822.

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 9822 and 9828?

Answer:

Least Common Multiple of 9822 and 9828 = 16088436

Step 1: Find the prime factorization of 9822

9822 = 2 x 3 x 1637

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 = 16088436 = 2 x 2 x 3 x 3 x 3 x 7 x 13 x 1637

Step 4: Therefore, the least common multiple of 9822 and 9828 is 16088436.