Least Common Multiple of 9931 and 9939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 9931 and 9939 the smallest integer that is 98704209 that is divisible by both numbers.

Least Common Multiple (LCM) of 9931 and 9939 is 98704209.

LCM(9931,9939) = 98704209

LCM of 9931 and 9939

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

LCM of:
and

Least Common Multiple of 9931 and 9939

LCM of 9931 and 9939 is 98704209

Least common multiple can be found by multiplying the highest exponent prime factors of 9931 and 9939. First we will calculate the prime factors of 9931 and 9939.

Prime Factorization of 9931


9931 9931
1

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

9931 = 99311

Prime Factorization of 9939


3 9939
3313 3313
1

Prime factors of 9939 are 3,3313. Prime factorization of 9939 in exponential form is:

9939 = 31×33131

Now multiplying the highest exponent prime factors to calculate the LCM of 9931 and 9939.

LCM(9931,9939) = 31×33131×99311
LCM(9931,9939) = 98704209

Factors of 9931

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

1, 9931

Factors of 9939

List of positive integer factors of 9939 that divides 9939 without a remainder.

1, 3, 3313, 9939

Least Common Multiple of 9931 and 9939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9931 and 9939, than apply into the LCM equation.

GCF(9931,9939) = 1
LCM(9931,9939) = ( 9931 × 9939) / 1
LCM(9931,9939) = 98704209 / 1
LCM(9931,9939) = 98704209

Properties of LCM 9931 and 9939

(i) The LCM of 9939 and 9931 is associative

LCM of 9931 and 9939 = LCM of 9939 and 9931

Frequently Asked Questions on LCM of 9931 and 9939

1. What is the LCM of 9931 and 9939?

Answer: LCM of 9931 and 9939 is 98704209.

2. 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.

3. What are the Factors of 9939?

Answer: Factors of 9939 are 1, 3, 3313, 9939. There are 4 integers that are factors of 9939. The greatest factor of 9939 is 9939.

4. How to Find the LCM of 9931 and 9939?

Answer:

Least Common Multiple of 9931 and 9939 = 98704209

Step 1: Find the prime factorization of 9931

9931 = 9931

Step 2: Find the prime factorization of 9939

9939 = 3 x 3313

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

LCM = 98704209 = 3 x 3313 x 9931

Step 4: Therefore, the least common multiple of 9931 and 9939 is 98704209.