Least Common Multiple of 9935 and 9941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9935 and 9941 the smallest integer that is 98763835 that is divisible by both numbers.

Least Common Multiple (LCM) of 9935 and 9941 is 98763835.

LCM(9935,9941) = 98763835

LCM of 9935 and 9941

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

LCM of:
and

Least Common Multiple of 9935 and 9941

LCM of 9935 and 9941 is 98763835

Least common multiple can be found by multiplying the highest exponent prime factors of 9935 and 9941. First we will calculate the prime factors of 9935 and 9941.

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

Prime Factorization of 9941


9941 9941
1

Prime factors of 9941 are 9941. Prime factorization of 9941 in exponential form is:

9941 = 99411

Now multiplying the highest exponent prime factors to calculate the LCM of 9935 and 9941.

LCM(9935,9941) = 51×19871×99411
LCM(9935,9941) = 98763835

Factors of 9935

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

1, 5, 1987, 9935

Factors of 9941

List of positive integer factors of 9941 that divides 9941 without a remainder.

1, 9941

Least Common Multiple of 9935 and 9941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9935 and 9941, than apply into the LCM equation.

GCF(9935,9941) = 1
LCM(9935,9941) = ( 9935 × 9941) / 1
LCM(9935,9941) = 98763835 / 1
LCM(9935,9941) = 98763835

Properties of LCM 9935 and 9941

(i) The LCM of 9941 and 9935 is associative

LCM of 9935 and 9941 = LCM of 9941 and 9935

Related Least Common Multiples of 9935

Related Least Common Multiples of 9941

Frequently Asked Questions on LCM of 9935 and 9941

1. What is the LCM of 9935 and 9941?

Answer: LCM of 9935 and 9941 is 98763835.

2. 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.

3. What are the Factors of 9941?

Answer: Factors of 9941 are 1, 9941. There are 2 integers that are factors of 9941. The greatest factor of 9941 is 9941.

4. How to Find the LCM of 9935 and 9941?

Answer:

Least Common Multiple of 9935 and 9941 = 98763835

Step 1: Find the prime factorization of 9935

9935 = 5 x 1987

Step 2: Find the prime factorization of 9941

9941 = 9941

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

LCM = 98763835 = 5 x 1987 x 9941

Step 4: Therefore, the least common multiple of 9935 and 9941 is 98763835.