Least Common Multiple of 9988 and 9993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9988 and 9993 the smallest integer that is 99810084 that is divisible by both numbers.

Least Common Multiple (LCM) of 9988 and 9993 is 99810084.

LCM(9988,9993) = 99810084

LCM of 9988 and 9993

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

LCM of:
and

Least Common Multiple of 9988 and 9993

LCM of 9988 and 9993 is 99810084

Least common multiple can be found by multiplying the highest exponent prime factors of 9988 and 9993. First we will calculate the prime factors of 9988 and 9993.

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

Prime Factorization of 9993


3 9993
3331 3331
1

Prime factors of 9993 are 3,3331. Prime factorization of 9993 in exponential form is:

9993 = 31×33311

Now multiplying the highest exponent prime factors to calculate the LCM of 9988 and 9993.

LCM(9988,9993) = 22×31×111×2271×33311
LCM(9988,9993) = 99810084

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

Factors of 9993

List of positive integer factors of 9993 that divides 9993 without a remainder.

1, 3, 3331, 9993

Least Common Multiple of 9988 and 9993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9988 and 9993, than apply into the LCM equation.

GCF(9988,9993) = 1
LCM(9988,9993) = ( 9988 × 9993) / 1
LCM(9988,9993) = 99810084 / 1
LCM(9988,9993) = 99810084

Properties of LCM 9988 and 9993

(i) The LCM of 9993 and 9988 is associative

LCM of 9988 and 9993 = LCM of 9993 and 9988

Related Least Common Multiples of 9988

Related Least Common Multiples of 9993

Frequently Asked Questions on LCM of 9988 and 9993

1. What is the LCM of 9988 and 9993?

Answer: LCM of 9988 and 9993 is 99810084.

2. 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.

3. What are the Factors of 9993?

Answer: Factors of 9993 are 1, 3, 3331, 9993. There are 4 integers that are factors of 9993. The greatest factor of 9993 is 9993.

4. How to Find the LCM of 9988 and 9993?

Answer:

Least Common Multiple of 9988 and 9993 = 99810084

Step 1: Find the prime factorization of 9988

9988 = 2 x 2 x 11 x 227

Step 2: Find the prime factorization of 9993

9993 = 3 x 3331

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

LCM = 99810084 = 2 x 2 x 3 x 11 x 227 x 3331

Step 4: Therefore, the least common multiple of 9988 and 9993 is 99810084.