Least Common Multiple of 9842 and 9844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9842 and 9844 the smallest integer that is 48442324 that is divisible by both numbers.

Least Common Multiple (LCM) of 9842 and 9844 is 48442324.

LCM(9842,9844) = 48442324

LCM of 9842 and 9844

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

LCM of:
and

Least Common Multiple of 9842 and 9844

LCM of 9842 and 9844 is 48442324

Least common multiple can be found by multiplying the highest exponent prime factors of 9842 and 9844. First we will calculate the prime factors of 9842 and 9844.

Prime Factorization of 9842


2 9842
7 4921
19 703
37 37
1

Prime factors of 9842 are 2, 7, 19,37. Prime factorization of 9842 in exponential form is:

9842 = 21×71×191×371

Prime Factorization of 9844


2 9844
2 4922
23 2461
107 107
1

Prime factors of 9844 are 2, 23,107. Prime factorization of 9844 in exponential form is:

9844 = 22×231×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9842 and 9844.

LCM(9842,9844) = 22×71×191×231×371×1071
LCM(9842,9844) = 48442324

Factors of 9842

List of positive integer factors of 9842 that divides 9842 without a remainder.

1, 2, 7, 14, 19, 37, 38, 74, 133, 259, 266, 518, 703, 1406, 4921, 9842

Factors of 9844

List of positive integer factors of 9844 that divides 9844 without a remainder.

1, 2, 4, 23, 46, 92, 107, 214, 428, 2461, 4922, 9844

Least Common Multiple of 9842 and 9844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9842 and 9844, than apply into the LCM equation.

GCF(9842,9844) = 2
LCM(9842,9844) = ( 9842 × 9844) / 2
LCM(9842,9844) = 96884648 / 2
LCM(9842,9844) = 48442324

Properties of LCM 9842 and 9844

(i) The LCM of 9844 and 9842 is associative

LCM of 9842 and 9844 = LCM of 9844 and 9842

Related Least Common Multiples of 9842

Related Least Common Multiples of 9844

Frequently Asked Questions on LCM of 9842 and 9844

1. What is the LCM of 9842 and 9844?

Answer: LCM of 9842 and 9844 is 48442324.

2. What are the Factors of 9842?

Answer: Factors of 9842 are 1, 2, 7, 14, 19, 37, 38, 74, 133, 259, 266, 518, 703, 1406, 4921, 9842. There are 16 integers that are factors of 9842. The greatest factor of 9842 is 9842.

3. What are the Factors of 9844?

Answer: Factors of 9844 are 1, 2, 4, 23, 46, 92, 107, 214, 428, 2461, 4922, 9844. There are 12 integers that are factors of 9844. The greatest factor of 9844 is 9844.

4. How to Find the LCM of 9842 and 9844?

Answer:

Least Common Multiple of 9842 and 9844 = 48442324

Step 1: Find the prime factorization of 9842

9842 = 2 x 7 x 19 x 37

Step 2: Find the prime factorization of 9844

9844 = 2 x 2 x 23 x 107

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

LCM = 48442324 = 2 x 2 x 7 x 19 x 23 x 37 x 107

Step 4: Therefore, the least common multiple of 9842 and 9844 is 48442324.