Least Common Multiple of 9888 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 9888 and 9889 the smallest integer that is 97782432 that is divisible by both numbers.

Least Common Multiple (LCM) of 9888 and 9889 is 97782432.

LCM(9888,9889) = 97782432

LCM of 9888 and 9889

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

LCM of:
and

Least Common Multiple of 9888 and 9889

LCM of 9888 and 9889 is 97782432

Least common multiple can be found by multiplying the highest exponent prime factors of 9888 and 9889. First we will calculate the prime factors of 9888 and 9889.

Prime Factorization of 9888


2 9888
2 4944
2 2472
2 1236
2 618
3 309
103 103
1

Prime factors of 9888 are 2, 3,103. Prime factorization of 9888 in exponential form is:

9888 = 25×31×1031

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 9888 and 9889.

LCM(9888,9889) = 25×31×111×291×311×1031
LCM(9888,9889) = 97782432

Factors of 9888

List of positive integer factors of 9888 that divides 9888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888

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 9888 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 9888 and 9889, than apply into the LCM equation.

GCF(9888,9889) = 1
LCM(9888,9889) = ( 9888 × 9889) / 1
LCM(9888,9889) = 97782432 / 1
LCM(9888,9889) = 97782432

Properties of LCM 9888 and 9889

(i) The LCM of 9889 and 9888 is associative

LCM of 9888 and 9889 = LCM of 9889 and 9888

Related Least Common Multiples of 9888

Related Least Common Multiples of 9889

Frequently Asked Questions on LCM of 9888 and 9889

1. What is the LCM of 9888 and 9889?

Answer: LCM of 9888 and 9889 is 97782432.

2. What are the Factors of 9888?

Answer: Factors of 9888 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888. There are 24 integers that are factors of 9888. The greatest factor of 9888 is 9888.

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 9888 and 9889?

Answer:

Least Common Multiple of 9888 and 9889 = 97782432

Step 1: Find the prime factorization of 9888

9888 = 2 x 2 x 2 x 2 x 2 x 3 x 103

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 = 97782432 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 29 x 31 x 103

Step 4: Therefore, the least common multiple of 9888 and 9889 is 97782432.