Least Common Multiple of 9838 and 9846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9838 and 9846 the smallest integer that is 48432474 that is divisible by both numbers.

Least Common Multiple (LCM) of 9838 and 9846 is 48432474.

LCM(9838,9846) = 48432474

LCM of 9838 and 9846

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

LCM of:
and

Least Common Multiple of 9838 and 9846

LCM of 9838 and 9846 is 48432474

Least common multiple can be found by multiplying the highest exponent prime factors of 9838 and 9846. First we will calculate the prime factors of 9838 and 9846.

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

Prime Factorization of 9846


2 9846
3 4923
3 1641
547 547
1

Prime factors of 9846 are 2, 3,547. Prime factorization of 9846 in exponential form is:

9846 = 21×32×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 9838 and 9846.

LCM(9838,9846) = 21×32×5471×49191
LCM(9838,9846) = 48432474

Factors of 9838

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

1, 2, 4919, 9838

Factors of 9846

List of positive integer factors of 9846 that divides 9846 without a remainder.

1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846

Least Common Multiple of 9838 and 9846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9838 and 9846, than apply into the LCM equation.

GCF(9838,9846) = 2
LCM(9838,9846) = ( 9838 × 9846) / 2
LCM(9838,9846) = 96864948 / 2
LCM(9838,9846) = 48432474

Properties of LCM 9838 and 9846

(i) The LCM of 9846 and 9838 is associative

LCM of 9838 and 9846 = LCM of 9846 and 9838

Related Least Common Multiples of 9838

Related Least Common Multiples of 9846

Frequently Asked Questions on LCM of 9838 and 9846

1. What is the LCM of 9838 and 9846?

Answer: LCM of 9838 and 9846 is 48432474.

2. 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.

3. What are the Factors of 9846?

Answer: Factors of 9846 are 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846. There are 12 integers that are factors of 9846. The greatest factor of 9846 is 9846.

4. How to Find the LCM of 9838 and 9846?

Answer:

Least Common Multiple of 9838 and 9846 = 48432474

Step 1: Find the prime factorization of 9838

9838 = 2 x 4919

Step 2: Find the prime factorization of 9846

9846 = 2 x 3 x 3 x 547

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

LCM = 48432474 = 2 x 3 x 3 x 547 x 4919

Step 4: Therefore, the least common multiple of 9838 and 9846 is 48432474.