Least Common Multiple of 9988 and 9996

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 9996 the smallest integer that is 24960012 that is divisible by both numbers.

Least Common Multiple (LCM) of 9988 and 9996 is 24960012.

LCM(9988,9996) = 24960012

LCM of 9988 and 9996

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

LCM of:
and

Least Common Multiple of 9988 and 9996

LCM of 9988 and 9996 is 24960012

Least common multiple can be found by multiplying the highest exponent prime factors of 9988 and 9996. First we will calculate the prime factors of 9988 and 9996.

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 9996


2 9996
2 4998
3 2499
7 833
7 119
17 17
1

Prime factors of 9996 are 2, 3, 7,17. Prime factorization of 9996 in exponential form is:

9996 = 22×31×72×171

Now multiplying the highest exponent prime factors to calculate the LCM of 9988 and 9996.

LCM(9988,9996) = 22×31×72×111×171×2271
LCM(9988,9996) = 24960012

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 9996

List of positive integer factors of 9996 that divides 9996 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996

Least Common Multiple of 9988 and 9996 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 9996, than apply into the LCM equation.

GCF(9988,9996) = 4
LCM(9988,9996) = ( 9988 × 9996) / 4
LCM(9988,9996) = 99840048 / 4
LCM(9988,9996) = 24960012

Properties of LCM 9988 and 9996

(i) The LCM of 9996 and 9988 is associative

LCM of 9988 and 9996 = LCM of 9996 and 9988

Related Least Common Multiples of 9988

Related Least Common Multiples of 9996

Frequently Asked Questions on LCM of 9988 and 9996

1. What is the LCM of 9988 and 9996?

Answer: LCM of 9988 and 9996 is 24960012.

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 9996?

Answer: Factors of 9996 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996. There are 36 integers that are factors of 9996. The greatest factor of 9996 is 9996.

4. How to Find the LCM of 9988 and 9996?

Answer:

Least Common Multiple of 9988 and 9996 = 24960012

Step 1: Find the prime factorization of 9988

9988 = 2 x 2 x 11 x 227

Step 2: Find the prime factorization of 9996

9996 = 2 x 2 x 3 x 7 x 7 x 17

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

LCM = 24960012 = 2 x 2 x 3 x 7 x 7 x 11 x 17 x 227

Step 4: Therefore, the least common multiple of 9988 and 9996 is 24960012.