Least Common Multiple of 9934 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 9934 and 9941 the smallest integer that is 98753894 that is divisible by both numbers.

Least Common Multiple (LCM) of 9934 and 9941 is 98753894.

LCM(9934,9941) = 98753894

LCM of 9934 and 9941

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

LCM of:
and

Least Common Multiple of 9934 and 9941

LCM of 9934 and 9941 is 98753894

Least common multiple can be found by multiplying the highest exponent prime factors of 9934 and 9941. First we will calculate the prime factors of 9934 and 9941.

Prime Factorization of 9934


2 9934
4967 4967
1

Prime factors of 9934 are 2,4967. Prime factorization of 9934 in exponential form is:

9934 = 21×49671

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 9934 and 9941.

LCM(9934,9941) = 21×49671×99411
LCM(9934,9941) = 98753894

Factors of 9934

List of positive integer factors of 9934 that divides 9934 without a remainder.

1, 2, 4967, 9934

Factors of 9941

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

1, 9941

Least Common Multiple of 9934 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 9934 and 9941, than apply into the LCM equation.

GCF(9934,9941) = 1
LCM(9934,9941) = ( 9934 × 9941) / 1
LCM(9934,9941) = 98753894 / 1
LCM(9934,9941) = 98753894

Properties of LCM 9934 and 9941

(i) The LCM of 9941 and 9934 is associative

LCM of 9934 and 9941 = LCM of 9941 and 9934

Related Least Common Multiples of 9934

Related Least Common Multiples of 9941

Frequently Asked Questions on LCM of 9934 and 9941

1. What is the LCM of 9934 and 9941?

Answer: LCM of 9934 and 9941 is 98753894.

2. What are the Factors of 9934?

Answer: Factors of 9934 are 1, 2, 4967, 9934. There are 4 integers that are factors of 9934. The greatest factor of 9934 is 9934.

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 9934 and 9941?

Answer:

Least Common Multiple of 9934 and 9941 = 98753894

Step 1: Find the prime factorization of 9934

9934 = 2 x 4967

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 = 98753894 = 2 x 4967 x 9941

Step 4: Therefore, the least common multiple of 9934 and 9941 is 98753894.