Least Common Multiple of 9882 and 9889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9882 and 9889 the smallest integer that is 97723098 that is divisible by both numbers.

Least Common Multiple (LCM) of 9882 and 9889 is 97723098.

LCM(9882,9889) = 97723098

LCM of 9882 and 9889

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

LCM of:
and

Least Common Multiple of 9882 and 9889

LCM of 9882 and 9889 is 97723098

Least common multiple can be found by multiplying the highest exponent prime factors of 9882 and 9889. First we will calculate the prime factors of 9882 and 9889.

Prime Factorization of 9882


2 9882
3 4941
3 1647
3 549
3 183
61 61
1

Prime factors of 9882 are 2, 3,61. Prime factorization of 9882 in exponential form is:

9882 = 21×34×611

Prime Factorization of 9889


11 9889
29 899
31 31
1

Prime factors of 9889 are 11, 29,31. Prime factorization of 9889 in exponential form is:

9889 = 111×291×311

Now multiplying the highest exponent prime factors to calculate the LCM of 9882 and 9889.

LCM(9882,9889) = 21×34×111×291×311×611
LCM(9882,9889) = 97723098

Factors of 9882

List of positive integer factors of 9882 that divides 9882 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882

Factors of 9889

List of positive integer factors of 9889 that divides 9889 without a remainder.

1, 11, 29, 31, 319, 341, 899, 9889

Least Common Multiple of 9882 and 9889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9882 and 9889, than apply into the LCM equation.

GCF(9882,9889) = 1
LCM(9882,9889) = ( 9882 × 9889) / 1
LCM(9882,9889) = 97723098 / 1
LCM(9882,9889) = 97723098

Properties of LCM 9882 and 9889

(i) The LCM of 9889 and 9882 is associative

LCM of 9882 and 9889 = LCM of 9889 and 9882

Related Least Common Multiples of 9882

Related Least Common Multiples of 9889

Frequently Asked Questions on LCM of 9882 and 9889

1. What is the LCM of 9882 and 9889?

Answer: LCM of 9882 and 9889 is 97723098.

2. What are the Factors of 9882?

Answer: Factors of 9882 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882. There are 20 integers that are factors of 9882. The greatest factor of 9882 is 9882.

3. What are the Factors of 9889?

Answer: Factors of 9889 are 1, 11, 29, 31, 319, 341, 899, 9889. There are 8 integers that are factors of 9889. The greatest factor of 9889 is 9889.

4. How to Find the LCM of 9882 and 9889?

Answer:

Least Common Multiple of 9882 and 9889 = 97723098

Step 1: Find the prime factorization of 9882

9882 = 2 x 3 x 3 x 3 x 3 x 61

Step 2: Find the prime factorization of 9889

9889 = 11 x 29 x 31

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

LCM = 97723098 = 2 x 3 x 3 x 3 x 3 x 11 x 29 x 31 x 61

Step 4: Therefore, the least common multiple of 9882 and 9889 is 97723098.