Least Common Multiple of 9843 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 9843 and 9845 the smallest integer that is 96904335 that is divisible by both numbers.

Least Common Multiple (LCM) of 9843 and 9845 is 96904335.

LCM(9843,9845) = 96904335

LCM of 9843 and 9845

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

LCM of:
and

Least Common Multiple of 9843 and 9845

LCM of 9843 and 9845 is 96904335

Least common multiple can be found by multiplying the highest exponent prime factors of 9843 and 9845. First we will calculate the prime factors of 9843 and 9845.

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

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 9843 and 9845.

LCM(9843,9845) = 31×51×111×171×1791×1931
LCM(9843,9845) = 96904335

Factors of 9843

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

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

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 9843 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 9843 and 9845, than apply into the LCM equation.

GCF(9843,9845) = 1
LCM(9843,9845) = ( 9843 × 9845) / 1
LCM(9843,9845) = 96904335 / 1
LCM(9843,9845) = 96904335

Properties of LCM 9843 and 9845

(i) The LCM of 9845 and 9843 is associative

LCM of 9843 and 9845 = LCM of 9845 and 9843

Related Least Common Multiples of 9843

Related Least Common Multiples of 9845

Frequently Asked Questions on LCM of 9843 and 9845

1. What is the LCM of 9843 and 9845?

Answer: LCM of 9843 and 9845 is 96904335.

2. 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.

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 9843 and 9845?

Answer:

Least Common Multiple of 9843 and 9845 = 96904335

Step 1: Find the prime factorization of 9843

9843 = 3 x 17 x 193

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 = 96904335 = 3 x 5 x 11 x 17 x 179 x 193

Step 4: Therefore, the least common multiple of 9843 and 9845 is 96904335.