Least Common Multiple of 9931 and 9935

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 9935 the smallest integer that is 98664485 that is divisible by both numbers.

Least Common Multiple (LCM) of 9931 and 9935 is 98664485.

LCM(9931,9935) = 98664485

LCM of 9931 and 9935

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

LCM of:
and

Least Common Multiple of 9931 and 9935

LCM of 9931 and 9935 is 98664485

Least common multiple can be found by multiplying the highest exponent prime factors of 9931 and 9935. First we will calculate the prime factors of 9931 and 9935.

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 9935


5 9935
1987 1987
1

Prime factors of 9935 are 5,1987. Prime factorization of 9935 in exponential form is:

9935 = 51×19871

Now multiplying the highest exponent prime factors to calculate the LCM of 9931 and 9935.

LCM(9931,9935) = 51×19871×99311
LCM(9931,9935) = 98664485

Factors of 9931

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

1, 9931

Factors of 9935

List of positive integer factors of 9935 that divides 9935 without a remainder.

1, 5, 1987, 9935

Least Common Multiple of 9931 and 9935 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 9935, than apply into the LCM equation.

GCF(9931,9935) = 1
LCM(9931,9935) = ( 9931 × 9935) / 1
LCM(9931,9935) = 98664485 / 1
LCM(9931,9935) = 98664485

Properties of LCM 9931 and 9935

(i) The LCM of 9935 and 9931 is associative

LCM of 9931 and 9935 = LCM of 9935 and 9931

Related Least Common Multiples of 9931

Related Least Common Multiples of 9935

Frequently Asked Questions on LCM of 9931 and 9935

1. What is the LCM of 9931 and 9935?

Answer: LCM of 9931 and 9935 is 98664485.

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 9935?

Answer: Factors of 9935 are 1, 5, 1987, 9935. There are 4 integers that are factors of 9935. The greatest factor of 9935 is 9935.

4. How to Find the LCM of 9931 and 9935?

Answer:

Least Common Multiple of 9931 and 9935 = 98664485

Step 1: Find the prime factorization of 9931

9931 = 9931

Step 2: Find the prime factorization of 9935

9935 = 5 x 1987

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

LCM = 98664485 = 5 x 1987 x 9931

Step 4: Therefore, the least common multiple of 9931 and 9935 is 98664485.