Least Common Multiple of 9941 and 9947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9941 and 9947 the smallest integer that is 98883127 that is divisible by both numbers.

Least Common Multiple (LCM) of 9941 and 9947 is 98883127.

LCM(9941,9947) = 98883127

LCM of 9941 and 9947

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

LCM of:
and

Least Common Multiple of 9941 and 9947

LCM of 9941 and 9947 is 98883127

Least common multiple can be found by multiplying the highest exponent prime factors of 9941 and 9947. First we will calculate the prime factors of 9941 and 9947.

Prime Factorization of 9941


9941 9941
1

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

9941 = 99411

Prime Factorization of 9947


7 9947
7 1421
7 203
29 29
1

Prime factors of 9947 are 7,29. Prime factorization of 9947 in exponential form is:

9947 = 73×291

Now multiplying the highest exponent prime factors to calculate the LCM of 9941 and 9947.

LCM(9941,9947) = 73×291×99411
LCM(9941,9947) = 98883127

Factors of 9941

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

1, 9941

Factors of 9947

List of positive integer factors of 9947 that divides 9947 without a remainder.

1, 7, 29, 49, 203, 343, 1421, 9947

Least Common Multiple of 9941 and 9947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9941 and 9947, than apply into the LCM equation.

GCF(9941,9947) = 1
LCM(9941,9947) = ( 9941 × 9947) / 1
LCM(9941,9947) = 98883127 / 1
LCM(9941,9947) = 98883127

Properties of LCM 9941 and 9947

(i) The LCM of 9947 and 9941 is associative

LCM of 9941 and 9947 = LCM of 9947 and 9941

Related Least Common Multiples of 9941

Related Least Common Multiples of 9947

Frequently Asked Questions on LCM of 9941 and 9947

1. What is the LCM of 9941 and 9947?

Answer: LCM of 9941 and 9947 is 98883127.

2. 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.

3. What are the Factors of 9947?

Answer: Factors of 9947 are 1, 7, 29, 49, 203, 343, 1421, 9947. There are 8 integers that are factors of 9947. The greatest factor of 9947 is 9947.

4. How to Find the LCM of 9941 and 9947?

Answer:

Least Common Multiple of 9941 and 9947 = 98883127

Step 1: Find the prime factorization of 9941

9941 = 9941

Step 2: Find the prime factorization of 9947

9947 = 7 x 7 x 7 x 29

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

LCM = 98883127 = 7 x 7 x 7 x 29 x 9941

Step 4: Therefore, the least common multiple of 9941 and 9947 is 98883127.