Least Common Multiple of 9941 and 9948

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 9948 the smallest integer that is 98893068 that is divisible by both numbers.

Least Common Multiple (LCM) of 9941 and 9948 is 98893068.

LCM(9941,9948) = 98893068

LCM of 9941 and 9948

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

LCM of:
and

Least Common Multiple of 9941 and 9948

LCM of 9941 and 9948 is 98893068

Least common multiple can be found by multiplying the highest exponent prime factors of 9941 and 9948. First we will calculate the prime factors of 9941 and 9948.

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 9948


2 9948
2 4974
3 2487
829 829
1

Prime factors of 9948 are 2, 3,829. Prime factorization of 9948 in exponential form is:

9948 = 22×31×8291

Now multiplying the highest exponent prime factors to calculate the LCM of 9941 and 9948.

LCM(9941,9948) = 22×31×8291×99411
LCM(9941,9948) = 98893068

Factors of 9941

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

1, 9941

Factors of 9948

List of positive integer factors of 9948 that divides 9948 without a remainder.

1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948

Least Common Multiple of 9941 and 9948 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 9948, than apply into the LCM equation.

GCF(9941,9948) = 1
LCM(9941,9948) = ( 9941 × 9948) / 1
LCM(9941,9948) = 98893068 / 1
LCM(9941,9948) = 98893068

Properties of LCM 9941 and 9948

(i) The LCM of 9948 and 9941 is associative

LCM of 9941 and 9948 = LCM of 9948 and 9941

Related Least Common Multiples of 9941

Related Least Common Multiples of 9948

Frequently Asked Questions on LCM of 9941 and 9948

1. What is the LCM of 9941 and 9948?

Answer: LCM of 9941 and 9948 is 98893068.

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 9948?

Answer: Factors of 9948 are 1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948. There are 12 integers that are factors of 9948. The greatest factor of 9948 is 9948.

4. How to Find the LCM of 9941 and 9948?

Answer:

Least Common Multiple of 9941 and 9948 = 98893068

Step 1: Find the prime factorization of 9941

9941 = 9941

Step 2: Find the prime factorization of 9948

9948 = 2 x 2 x 3 x 829

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

LCM = 98893068 = 2 x 2 x 3 x 829 x 9941

Step 4: Therefore, the least common multiple of 9941 and 9948 is 98893068.