Least Common Multiple of 9834 and 9839

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 9839 the smallest integer that is 96756726 that is divisible by both numbers.

Least Common Multiple (LCM) of 9834 and 9839 is 96756726.

LCM(9834,9839) = 96756726

LCM of 9834 and 9839

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

LCM of:
and

Least Common Multiple of 9834 and 9839

LCM of 9834 and 9839 is 96756726

Least common multiple can be found by multiplying the highest exponent prime factors of 9834 and 9839. First we will calculate the prime factors of 9834 and 9839.

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 9839


9839 9839
1

Prime factors of 9839 are 9839. Prime factorization of 9839 in exponential form is:

9839 = 98391

Now multiplying the highest exponent prime factors to calculate the LCM of 9834 and 9839.

LCM(9834,9839) = 21×31×111×1491×98391
LCM(9834,9839) = 96756726

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 9839

List of positive integer factors of 9839 that divides 9839 without a remainder.

1, 9839

Least Common Multiple of 9834 and 9839 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 9839, than apply into the LCM equation.

GCF(9834,9839) = 1
LCM(9834,9839) = ( 9834 × 9839) / 1
LCM(9834,9839) = 96756726 / 1
LCM(9834,9839) = 96756726

Properties of LCM 9834 and 9839

(i) The LCM of 9839 and 9834 is associative

LCM of 9834 and 9839 = LCM of 9839 and 9834

Related Least Common Multiples of 9834

Related Least Common Multiples of 9839

Frequently Asked Questions on LCM of 9834 and 9839

1. What is the LCM of 9834 and 9839?

Answer: LCM of 9834 and 9839 is 96756726.

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 9839?

Answer: Factors of 9839 are 1, 9839. There are 2 integers that are factors of 9839. The greatest factor of 9839 is 9839.

4. How to Find the LCM of 9834 and 9839?

Answer:

Least Common Multiple of 9834 and 9839 = 96756726

Step 1: Find the prime factorization of 9834

9834 = 2 x 3 x 11 x 149

Step 2: Find the prime factorization of 9839

9839 = 9839

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

LCM = 96756726 = 2 x 3 x 11 x 149 x 9839

Step 4: Therefore, the least common multiple of 9834 and 9839 is 96756726.