Least Common Multiple of 9988 and 9995

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 9995 the smallest integer that is 99830060 that is divisible by both numbers.

Least Common Multiple (LCM) of 9988 and 9995 is 99830060.

LCM(9988,9995) = 99830060

LCM of 9988 and 9995

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

LCM of:
and

Least Common Multiple of 9988 and 9995

LCM of 9988 and 9995 is 99830060

Least common multiple can be found by multiplying the highest exponent prime factors of 9988 and 9995. First we will calculate the prime factors of 9988 and 9995.

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 9995


5 9995
1999 1999
1

Prime factors of 9995 are 5,1999. Prime factorization of 9995 in exponential form is:

9995 = 51×19991

Now multiplying the highest exponent prime factors to calculate the LCM of 9988 and 9995.

LCM(9988,9995) = 22×51×111×2271×19991
LCM(9988,9995) = 99830060

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 9995

List of positive integer factors of 9995 that divides 9995 without a remainder.

1, 5, 1999, 9995

Least Common Multiple of 9988 and 9995 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 9995, than apply into the LCM equation.

GCF(9988,9995) = 1
LCM(9988,9995) = ( 9988 × 9995) / 1
LCM(9988,9995) = 99830060 / 1
LCM(9988,9995) = 99830060

Properties of LCM 9988 and 9995

(i) The LCM of 9995 and 9988 is associative

LCM of 9988 and 9995 = LCM of 9995 and 9988

Related Least Common Multiples of 9988

Related Least Common Multiples of 9995

Frequently Asked Questions on LCM of 9988 and 9995

1. What is the LCM of 9988 and 9995?

Answer: LCM of 9988 and 9995 is 99830060.

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 9995?

Answer: Factors of 9995 are 1, 5, 1999, 9995. There are 4 integers that are factors of 9995. The greatest factor of 9995 is 9995.

4. How to Find the LCM of 9988 and 9995?

Answer:

Least Common Multiple of 9988 and 9995 = 99830060

Step 1: Find the prime factorization of 9988

9988 = 2 x 2 x 11 x 227

Step 2: Find the prime factorization of 9995

9995 = 5 x 1999

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

LCM = 99830060 = 2 x 2 x 5 x 11 x 227 x 1999

Step 4: Therefore, the least common multiple of 9988 and 9995 is 99830060.