Least Common Multiple of 9923 and 9931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9923 and 9931 the smallest integer that is 98545313 that is divisible by both numbers.

Least Common Multiple (LCM) of 9923 and 9931 is 98545313.

LCM(9923,9931) = 98545313

LCM of 9923 and 9931

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

LCM of:
and

Least Common Multiple of 9923 and 9931

LCM of 9923 and 9931 is 98545313

Least common multiple can be found by multiplying the highest exponent prime factors of 9923 and 9931. First we will calculate the prime factors of 9923 and 9931.

Prime Factorization of 9923


9923 9923
1

Prime factors of 9923 are 9923. Prime factorization of 9923 in exponential form is:

9923 = 99231

Prime Factorization of 9931


9931 9931
1

Prime factors of 9931 are 9931. Prime factorization of 9931 in exponential form is:

9931 = 99311

Now multiplying the highest exponent prime factors to calculate the LCM of 9923 and 9931.

LCM(9923,9931) = 99231×99311
LCM(9923,9931) = 98545313

Factors of 9923

List of positive integer factors of 9923 that divides 9923 without a remainder.

1, 9923

Factors of 9931

List of positive integer factors of 9931 that divides 9931 without a remainder.

1, 9931

Least Common Multiple of 9923 and 9931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9923 and 9931, than apply into the LCM equation.

GCF(9923,9931) = 1
LCM(9923,9931) = ( 9923 × 9931) / 1
LCM(9923,9931) = 98545313 / 1
LCM(9923,9931) = 98545313

Properties of LCM 9923 and 9931

(i) The LCM of 9931 and 9923 is associative

LCM of 9923 and 9931 = LCM of 9931 and 9923

Related Least Common Multiples of 9923

Related Least Common Multiples of 9931

Frequently Asked Questions on LCM of 9923 and 9931

1. What is the LCM of 9923 and 9931?

Answer: LCM of 9923 and 9931 is 98545313.

2. What are the Factors of 9923?

Answer: Factors of 9923 are 1, 9923. There are 2 integers that are factors of 9923. The greatest factor of 9923 is 9923.

3. What are the Factors of 9931?

Answer: Factors of 9931 are 1, 9931. There are 2 integers that are factors of 9931. The greatest factor of 9931 is 9931.

4. How to Find the LCM of 9923 and 9931?

Answer:

Least Common Multiple of 9923 and 9931 = 98545313

Step 1: Find the prime factorization of 9923

9923 = 9923

Step 2: Find the prime factorization of 9931

9931 = 9931

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

LCM = 98545313 = 9923 x 9931

Step 4: Therefore, the least common multiple of 9923 and 9931 is 98545313.