Least Common Multiple of 9987 and 9988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9987 and 9988 the smallest integer that is 99750156 that is divisible by both numbers.

Least Common Multiple (LCM) of 9987 and 9988 is 99750156.

LCM(9987,9988) = 99750156

LCM of 9987 and 9988

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

LCM of:
and

Least Common Multiple of 9987 and 9988

LCM of 9987 and 9988 is 99750156

Least common multiple can be found by multiplying the highest exponent prime factors of 9987 and 9988. First we will calculate the prime factors of 9987 and 9988.

Prime Factorization of 9987


3 9987
3329 3329
1

Prime factors of 9987 are 3,3329. Prime factorization of 9987 in exponential form is:

9987 = 31×33291

Prime Factorization of 9988


2 9988
2 4994
11 2497
227 227
1

Prime factors of 9988 are 2, 11,227. Prime factorization of 9988 in exponential form is:

9988 = 22×111×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 9987 and 9988.

LCM(9987,9988) = 22×31×111×2271×33291
LCM(9987,9988) = 99750156

Factors of 9987

List of positive integer factors of 9987 that divides 9987 without a remainder.

1, 3, 3329, 9987

Factors of 9988

List of positive integer factors of 9988 that divides 9988 without a remainder.

1, 2, 4, 11, 22, 44, 227, 454, 908, 2497, 4994, 9988

Least Common Multiple of 9987 and 9988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9987 and 9988, than apply into the LCM equation.

GCF(9987,9988) = 1
LCM(9987,9988) = ( 9987 × 9988) / 1
LCM(9987,9988) = 99750156 / 1
LCM(9987,9988) = 99750156

Properties of LCM 9987 and 9988

(i) The LCM of 9988 and 9987 is associative

LCM of 9987 and 9988 = LCM of 9988 and 9987

Related Least Common Multiples of 9987

Related Least Common Multiples of 9988

Frequently Asked Questions on LCM of 9987 and 9988

1. What is the LCM of 9987 and 9988?

Answer: LCM of 9987 and 9988 is 99750156.

2. What are the Factors of 9987?

Answer: Factors of 9987 are 1, 3, 3329, 9987. There are 4 integers that are factors of 9987. The greatest factor of 9987 is 9987.

3. What are the Factors of 9988?

Answer: Factors of 9988 are 1, 2, 4, 11, 22, 44, 227, 454, 908, 2497, 4994, 9988. There are 12 integers that are factors of 9988. The greatest factor of 9988 is 9988.

4. How to Find the LCM of 9987 and 9988?

Answer:

Least Common Multiple of 9987 and 9988 = 99750156

Step 1: Find the prime factorization of 9987

9987 = 3 x 3329

Step 2: Find the prime factorization of 9988

9988 = 2 x 2 x 11 x 227

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

LCM = 99750156 = 2 x 2 x 3 x 11 x 227 x 3329

Step 4: Therefore, the least common multiple of 9987 and 9988 is 99750156.