Least Common Multiple of 9884 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 9884 and 9889 the smallest integer that is 97742876 that is divisible by both numbers.

Least Common Multiple (LCM) of 9884 and 9889 is 97742876.

LCM(9884,9889) = 97742876

LCM of 9884 and 9889

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

LCM of:
and

Least Common Multiple of 9884 and 9889

LCM of 9884 and 9889 is 97742876

Least common multiple can be found by multiplying the highest exponent prime factors of 9884 and 9889. First we will calculate the prime factors of 9884 and 9889.

Prime Factorization of 9884


2 9884
2 4942
7 2471
353 353
1

Prime factors of 9884 are 2, 7,353. Prime factorization of 9884 in exponential form is:

9884 = 22×71×3531

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 9884 and 9889.

LCM(9884,9889) = 22×71×111×291×311×3531
LCM(9884,9889) = 97742876

Factors of 9884

List of positive integer factors of 9884 that divides 9884 without a remainder.

1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884

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 9884 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 9884 and 9889, than apply into the LCM equation.

GCF(9884,9889) = 1
LCM(9884,9889) = ( 9884 × 9889) / 1
LCM(9884,9889) = 97742876 / 1
LCM(9884,9889) = 97742876

Properties of LCM 9884 and 9889

(i) The LCM of 9889 and 9884 is associative

LCM of 9884 and 9889 = LCM of 9889 and 9884

Related Least Common Multiples of 9884

Related Least Common Multiples of 9889

Frequently Asked Questions on LCM of 9884 and 9889

1. What is the LCM of 9884 and 9889?

Answer: LCM of 9884 and 9889 is 97742876.

2. What are the Factors of 9884?

Answer: Factors of 9884 are 1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884. There are 12 integers that are factors of 9884. The greatest factor of 9884 is 9884.

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 9884 and 9889?

Answer:

Least Common Multiple of 9884 and 9889 = 97742876

Step 1: Find the prime factorization of 9884

9884 = 2 x 2 x 7 x 353

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 = 97742876 = 2 x 2 x 7 x 11 x 29 x 31 x 353

Step 4: Therefore, the least common multiple of 9884 and 9889 is 97742876.