Least Common Multiple of 9834 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 9834 and 9838 the smallest integer that is 48373446 that is divisible by both numbers.

Least Common Multiple (LCM) of 9834 and 9838 is 48373446.

LCM(9834,9838) = 48373446

LCM of 9834 and 9838

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

LCM of:
and

Least Common Multiple of 9834 and 9838

LCM of 9834 and 9838 is 48373446

Least common multiple can be found by multiplying the highest exponent prime factors of 9834 and 9838. First we will calculate the prime factors of 9834 and 9838.

Prime Factorization of 9834


2 9834
3 4917
11 1639
149 149
1

Prime factors of 9834 are 2, 3, 11,149. Prime factorization of 9834 in exponential form is:

9834 = 21×31×111×1491

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 9834 and 9838.

LCM(9834,9838) = 21×31×111×1491×49191
LCM(9834,9838) = 48373446

Factors of 9834

List of positive integer factors of 9834 that divides 9834 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 149, 298, 447, 894, 1639, 3278, 4917, 9834

Factors of 9838

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

1, 2, 4919, 9838

Least Common Multiple of 9834 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 9834 and 9838, than apply into the LCM equation.

GCF(9834,9838) = 2
LCM(9834,9838) = ( 9834 × 9838) / 2
LCM(9834,9838) = 96746892 / 2
LCM(9834,9838) = 48373446

Properties of LCM 9834 and 9838

(i) The LCM of 9838 and 9834 is associative

LCM of 9834 and 9838 = LCM of 9838 and 9834

Related Least Common Multiples of 9834

Related Least Common Multiples of 9838

Frequently Asked Questions on LCM of 9834 and 9838

1. What is the LCM of 9834 and 9838?

Answer: LCM of 9834 and 9838 is 48373446.

2. What are the Factors of 9834?

Answer: Factors of 9834 are 1, 2, 3, 6, 11, 22, 33, 66, 149, 298, 447, 894, 1639, 3278, 4917, 9834. There are 16 integers that are factors of 9834. The greatest factor of 9834 is 9834.

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 9834 and 9838?

Answer:

Least Common Multiple of 9834 and 9838 = 48373446

Step 1: Find the prime factorization of 9834

9834 = 2 x 3 x 11 x 149

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 = 48373446 = 2 x 3 x 11 x 149 x 4919

Step 4: Therefore, the least common multiple of 9834 and 9838 is 48373446.