Least Common Multiple of 9835 and 9838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9835 and 9838 the smallest integer that is 96756730 that is divisible by both numbers.

Least Common Multiple (LCM) of 9835 and 9838 is 96756730.

LCM(9835,9838) = 96756730

LCM of 9835 and 9838

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

LCM of:
and

Least Common Multiple of 9835 and 9838

LCM of 9835 and 9838 is 96756730

Least common multiple can be found by multiplying the highest exponent prime factors of 9835 and 9838. First we will calculate the prime factors of 9835 and 9838.

Prime Factorization of 9835


5 9835
7 1967
281 281
1

Prime factors of 9835 are 5, 7,281. Prime factorization of 9835 in exponential form is:

9835 = 51×71×2811

Prime Factorization of 9838


2 9838
4919 4919
1

Prime factors of 9838 are 2,4919. Prime factorization of 9838 in exponential form is:

9838 = 21×49191

Now multiplying the highest exponent prime factors to calculate the LCM of 9835 and 9838.

LCM(9835,9838) = 21×51×71×2811×49191
LCM(9835,9838) = 96756730

Factors of 9835

List of positive integer factors of 9835 that divides 9835 without a remainder.

1, 5, 7, 35, 281, 1405, 1967, 9835

Factors of 9838

List of positive integer factors of 9838 that divides 9838 without a remainder.

1, 2, 4919, 9838

Least Common Multiple of 9835 and 9838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9835 and 9838, than apply into the LCM equation.

GCF(9835,9838) = 1
LCM(9835,9838) = ( 9835 × 9838) / 1
LCM(9835,9838) = 96756730 / 1
LCM(9835,9838) = 96756730

Properties of LCM 9835 and 9838

(i) The LCM of 9838 and 9835 is associative

LCM of 9835 and 9838 = LCM of 9838 and 9835

Related Least Common Multiples of 9835

Related Least Common Multiples of 9838

Frequently Asked Questions on LCM of 9835 and 9838

1. What is the LCM of 9835 and 9838?

Answer: LCM of 9835 and 9838 is 96756730.

2. What are the Factors of 9835?

Answer: Factors of 9835 are 1, 5, 7, 35, 281, 1405, 1967, 9835. There are 8 integers that are factors of 9835. The greatest factor of 9835 is 9835.

3. What are the Factors of 9838?

Answer: Factors of 9838 are 1, 2, 4919, 9838. There are 4 integers that are factors of 9838. The greatest factor of 9838 is 9838.

4. How to Find the LCM of 9835 and 9838?

Answer:

Least Common Multiple of 9835 and 9838 = 96756730

Step 1: Find the prime factorization of 9835

9835 = 5 x 7 x 281

Step 2: Find the prime factorization of 9838

9838 = 2 x 4919

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

LCM = 96756730 = 2 x 5 x 7 x 281 x 4919

Step 4: Therefore, the least common multiple of 9835 and 9838 is 96756730.