Least Common Multiple of 9822 and 9829

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 9829 the smallest integer that is 96540438 that is divisible by both numbers.

Least Common Multiple (LCM) of 9822 and 9829 is 96540438.

LCM(9822,9829) = 96540438

LCM of 9822 and 9829

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

LCM of:
and

Least Common Multiple of 9822 and 9829

LCM of 9822 and 9829 is 96540438

Least common multiple can be found by multiplying the highest exponent prime factors of 9822 and 9829. First we will calculate the prime factors of 9822 and 9829.

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 9829


9829 9829
1

Prime factors of 9829 are 9829. Prime factorization of 9829 in exponential form is:

9829 = 98291

Now multiplying the highest exponent prime factors to calculate the LCM of 9822 and 9829.

LCM(9822,9829) = 21×31×16371×98291
LCM(9822,9829) = 96540438

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 9829

List of positive integer factors of 9829 that divides 9829 without a remainder.

1, 9829

Least Common Multiple of 9822 and 9829 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 9829, than apply into the LCM equation.

GCF(9822,9829) = 1
LCM(9822,9829) = ( 9822 × 9829) / 1
LCM(9822,9829) = 96540438 / 1
LCM(9822,9829) = 96540438

Properties of LCM 9822 and 9829

(i) The LCM of 9829 and 9822 is associative

LCM of 9822 and 9829 = LCM of 9829 and 9822

Related Least Common Multiples of 9822

Related Least Common Multiples of 9829

Frequently Asked Questions on LCM of 9822 and 9829

1. What is the LCM of 9822 and 9829?

Answer: LCM of 9822 and 9829 is 96540438.

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 9829?

Answer: Factors of 9829 are 1, 9829. There are 2 integers that are factors of 9829. The greatest factor of 9829 is 9829.

4. How to Find the LCM of 9822 and 9829?

Answer:

Least Common Multiple of 9822 and 9829 = 96540438

Step 1: Find the prime factorization of 9822

9822 = 2 x 3 x 1637

Step 2: Find the prime factorization of 9829

9829 = 9829

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

LCM = 96540438 = 2 x 3 x 1637 x 9829

Step 4: Therefore, the least common multiple of 9822 and 9829 is 96540438.