Least Common Multiple of 9992 and 9997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9992 and 9997 the smallest integer that is 99890024 that is divisible by both numbers.

Least Common Multiple (LCM) of 9992 and 9997 is 99890024.

LCM(9992,9997) = 99890024

LCM of 9992 and 9997

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

LCM of:
and

Least Common Multiple of 9992 and 9997

LCM of 9992 and 9997 is 99890024

Least common multiple can be found by multiplying the highest exponent prime factors of 9992 and 9997. First we will calculate the prime factors of 9992 and 9997.

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

Prime Factorization of 9997


13 9997
769 769
1

Prime factors of 9997 are 13,769. Prime factorization of 9997 in exponential form is:

9997 = 131×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 9992 and 9997.

LCM(9992,9997) = 23×131×7691×12491
LCM(9992,9997) = 99890024

Factors of 9992

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

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

Factors of 9997

List of positive integer factors of 9997 that divides 9997 without a remainder.

1, 13, 769, 9997

Least Common Multiple of 9992 and 9997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9992 and 9997, than apply into the LCM equation.

GCF(9992,9997) = 1
LCM(9992,9997) = ( 9992 × 9997) / 1
LCM(9992,9997) = 99890024 / 1
LCM(9992,9997) = 99890024

Properties of LCM 9992 and 9997

(i) The LCM of 9997 and 9992 is associative

LCM of 9992 and 9997 = LCM of 9997 and 9992

Related Least Common Multiples of 9992

Related Least Common Multiples of 9997

Frequently Asked Questions on LCM of 9992 and 9997

1. What is the LCM of 9992 and 9997?

Answer: LCM of 9992 and 9997 is 99890024.

2. 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.

3. What are the Factors of 9997?

Answer: Factors of 9997 are 1, 13, 769, 9997. There are 4 integers that are factors of 9997. The greatest factor of 9997 is 9997.

4. How to Find the LCM of 9992 and 9997?

Answer:

Least Common Multiple of 9992 and 9997 = 99890024

Step 1: Find the prime factorization of 9992

9992 = 2 x 2 x 2 x 1249

Step 2: Find the prime factorization of 9997

9997 = 13 x 769

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

LCM = 99890024 = 2 x 2 x 2 x 13 x 769 x 1249

Step 4: Therefore, the least common multiple of 9992 and 9997 is 99890024.