Least Common Multiple of 9837 and 9845

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 9845 the smallest integer that is 96845265 that is divisible by both numbers.

Least Common Multiple (LCM) of 9837 and 9845 is 96845265.

LCM(9837,9845) = 96845265

LCM of 9837 and 9845

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

LCM of:
and

Least Common Multiple of 9837 and 9845

LCM of 9837 and 9845 is 96845265

Least common multiple can be found by multiplying the highest exponent prime factors of 9837 and 9845. First we will calculate the prime factors of 9837 and 9845.

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 9845


5 9845
11 1969
179 179
1

Prime factors of 9845 are 5, 11,179. Prime factorization of 9845 in exponential form is:

9845 = 51×111×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 9837 and 9845.

LCM(9837,9845) = 32×51×111×1791×10931
LCM(9837,9845) = 96845265

Factors of 9837

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

1, 3, 9, 1093, 3279, 9837

Factors of 9845

List of positive integer factors of 9845 that divides 9845 without a remainder.

1, 5, 11, 55, 179, 895, 1969, 9845

Least Common Multiple of 9837 and 9845 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 9845, than apply into the LCM equation.

GCF(9837,9845) = 1
LCM(9837,9845) = ( 9837 × 9845) / 1
LCM(9837,9845) = 96845265 / 1
LCM(9837,9845) = 96845265

Properties of LCM 9837 and 9845

(i) The LCM of 9845 and 9837 is associative

LCM of 9837 and 9845 = LCM of 9845 and 9837

Related Least Common Multiples of 9837

Related Least Common Multiples of 9845

Frequently Asked Questions on LCM of 9837 and 9845

1. What is the LCM of 9837 and 9845?

Answer: LCM of 9837 and 9845 is 96845265.

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 9845?

Answer: Factors of 9845 are 1, 5, 11, 55, 179, 895, 1969, 9845. There are 8 integers that are factors of 9845. The greatest factor of 9845 is 9845.

4. How to Find the LCM of 9837 and 9845?

Answer:

Least Common Multiple of 9837 and 9845 = 96845265

Step 1: Find the prime factorization of 9837

9837 = 3 x 3 x 1093

Step 2: Find the prime factorization of 9845

9845 = 5 x 11 x 179

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

LCM = 96845265 = 3 x 3 x 5 x 11 x 179 x 1093

Step 4: Therefore, the least common multiple of 9837 and 9845 is 96845265.