Least Common Multiple of 9987 and 9992

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 9992 the smallest integer that is 99790104 that is divisible by both numbers.

Least Common Multiple (LCM) of 9987 and 9992 is 99790104.

LCM(9987,9992) = 99790104

LCM of 9987 and 9992

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

LCM of:
and

Least Common Multiple of 9987 and 9992

LCM of 9987 and 9992 is 99790104

Least common multiple can be found by multiplying the highest exponent prime factors of 9987 and 9992. First we will calculate the prime factors of 9987 and 9992.

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 9992


2 9992
2 4996
2 2498
1249 1249
1

Prime factors of 9992 are 2,1249. Prime factorization of 9992 in exponential form is:

9992 = 23×12491

Now multiplying the highest exponent prime factors to calculate the LCM of 9987 and 9992.

LCM(9987,9992) = 23×31×12491×33291
LCM(9987,9992) = 99790104

Factors of 9987

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

1, 3, 3329, 9987

Factors of 9992

List of positive integer factors of 9992 that divides 9992 without a remainder.

1, 2, 4, 8, 1249, 2498, 4996, 9992

Least Common Multiple of 9987 and 9992 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 9992, than apply into the LCM equation.

GCF(9987,9992) = 1
LCM(9987,9992) = ( 9987 × 9992) / 1
LCM(9987,9992) = 99790104 / 1
LCM(9987,9992) = 99790104

Properties of LCM 9987 and 9992

(i) The LCM of 9992 and 9987 is associative

LCM of 9987 and 9992 = LCM of 9992 and 9987

Related Least Common Multiples of 9987

Related Least Common Multiples of 9992

Frequently Asked Questions on LCM of 9987 and 9992

1. What is the LCM of 9987 and 9992?

Answer: LCM of 9987 and 9992 is 99790104.

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 9992?

Answer: Factors of 9992 are 1, 2, 4, 8, 1249, 2498, 4996, 9992. There are 8 integers that are factors of 9992. The greatest factor of 9992 is 9992.

4. How to Find the LCM of 9987 and 9992?

Answer:

Least Common Multiple of 9987 and 9992 = 99790104

Step 1: Find the prime factorization of 9987

9987 = 3 x 3329

Step 2: Find the prime factorization of 9992

9992 = 2 x 2 x 2 x 1249

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

LCM = 99790104 = 2 x 2 x 2 x 3 x 1249 x 3329

Step 4: Therefore, the least common multiple of 9987 and 9992 is 99790104.