Least Common Multiple of 9831 and 9837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9831 and 9837 the smallest integer that is 32235849 that is divisible by both numbers.

Least Common Multiple (LCM) of 9831 and 9837 is 32235849.

LCM(9831,9837) = 32235849

LCM of 9831 and 9837

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

LCM of:
and

Least Common Multiple of 9831 and 9837

LCM of 9831 and 9837 is 32235849

Least common multiple can be found by multiplying the highest exponent prime factors of 9831 and 9837. First we will calculate the prime factors of 9831 and 9837.

Prime Factorization of 9831


3 9831
29 3277
113 113
1

Prime factors of 9831 are 3, 29,113. Prime factorization of 9831 in exponential form is:

9831 = 31×291×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9831 and 9837.

LCM(9831,9837) = 32×291×1131×10931
LCM(9831,9837) = 32235849

Factors of 9831

List of positive integer factors of 9831 that divides 9831 without a remainder.

1, 3, 29, 87, 113, 339, 3277, 9831

Factors of 9837

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

1, 3, 9, 1093, 3279, 9837

Least Common Multiple of 9831 and 9837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9831 and 9837, than apply into the LCM equation.

GCF(9831,9837) = 3
LCM(9831,9837) = ( 9831 × 9837) / 3
LCM(9831,9837) = 96707547 / 3
LCM(9831,9837) = 32235849

Properties of LCM 9831 and 9837

(i) The LCM of 9837 and 9831 is associative

LCM of 9831 and 9837 = LCM of 9837 and 9831

Related Least Common Multiples of 9831

Related Least Common Multiples of 9837

Frequently Asked Questions on LCM of 9831 and 9837

1. What is the LCM of 9831 and 9837?

Answer: LCM of 9831 and 9837 is 32235849.

2. What are the Factors of 9831?

Answer: Factors of 9831 are 1, 3, 29, 87, 113, 339, 3277, 9831. There are 8 integers that are factors of 9831. The greatest factor of 9831 is 9831.

3. 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.

4. How to Find the LCM of 9831 and 9837?

Answer:

Least Common Multiple of 9831 and 9837 = 32235849

Step 1: Find the prime factorization of 9831

9831 = 3 x 29 x 113

Step 2: Find the prime factorization of 9837

9837 = 3 x 3 x 1093

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

LCM = 32235849 = 3 x 3 x 29 x 113 x 1093

Step 4: Therefore, the least common multiple of 9831 and 9837 is 32235849.