Least Common Multiple of 9837 and 9843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9837 and 9843 the smallest integer that is 32275197 that is divisible by both numbers.

Least Common Multiple (LCM) of 9837 and 9843 is 32275197.

LCM(9837,9843) = 32275197

LCM of 9837 and 9843

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

LCM of:
and

Least Common Multiple of 9837 and 9843

LCM of 9837 and 9843 is 32275197

Least common multiple can be found by multiplying the highest exponent prime factors of 9837 and 9843. First we will calculate the prime factors of 9837 and 9843.

Prime Factorization of 9837


3 9837
3 3279
1093 1093
1

Prime factors of 9837 are 3,1093. Prime factorization of 9837 in exponential form is:

9837 = 32×10931

Prime Factorization of 9843


3 9843
17 3281
193 193
1

Prime factors of 9843 are 3, 17,193. Prime factorization of 9843 in exponential form is:

9843 = 31×171×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 9837 and 9843.

LCM(9837,9843) = 32×171×1931×10931
LCM(9837,9843) = 32275197

Factors of 9837

List of positive integer factors of 9837 that divides 9837 without a remainder.

1, 3, 9, 1093, 3279, 9837

Factors of 9843

List of positive integer factors of 9843 that divides 9843 without a remainder.

1, 3, 17, 51, 193, 579, 3281, 9843

Least Common Multiple of 9837 and 9843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9837 and 9843, than apply into the LCM equation.

GCF(9837,9843) = 3
LCM(9837,9843) = ( 9837 × 9843) / 3
LCM(9837,9843) = 96825591 / 3
LCM(9837,9843) = 32275197

Properties of LCM 9837 and 9843

(i) The LCM of 9843 and 9837 is associative

LCM of 9837 and 9843 = LCM of 9843 and 9837

Related Least Common Multiples of 9837

Related Least Common Multiples of 9843

Frequently Asked Questions on LCM of 9837 and 9843

1. What is the LCM of 9837 and 9843?

Answer: LCM of 9837 and 9843 is 32275197.

2. What are the Factors of 9837?

Answer: Factors of 9837 are 1, 3, 9, 1093, 3279, 9837. There are 6 integers that are factors of 9837. The greatest factor of 9837 is 9837.

3. What are the Factors of 9843?

Answer: Factors of 9843 are 1, 3, 17, 51, 193, 579, 3281, 9843. There are 8 integers that are factors of 9843. The greatest factor of 9843 is 9843.

4. How to Find the LCM of 9837 and 9843?

Answer:

Least Common Multiple of 9837 and 9843 = 32275197

Step 1: Find the prime factorization of 9837

9837 = 3 x 3 x 1093

Step 2: Find the prime factorization of 9843

9843 = 3 x 17 x 193

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

LCM = 32275197 = 3 x 3 x 17 x 193 x 1093

Step 4: Therefore, the least common multiple of 9837 and 9843 is 32275197.