Least Common Multiple of 9826 and 9834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9826 and 9834 the smallest integer that is 48314442 that is divisible by both numbers.

Least Common Multiple (LCM) of 9826 and 9834 is 48314442.

LCM(9826,9834) = 48314442

LCM of 9826 and 9834

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

LCM of:
and

Least Common Multiple of 9826 and 9834

LCM of 9826 and 9834 is 48314442

Least common multiple can be found by multiplying the highest exponent prime factors of 9826 and 9834. First we will calculate the prime factors of 9826 and 9834.

Prime Factorization of 9826


2 9826
17 4913
17 289
17 17
1

Prime factors of 9826 are 2,17. Prime factorization of 9826 in exponential form is:

9826 = 21×173

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9826 and 9834.

LCM(9826,9834) = 21×31×111×173×1491
LCM(9826,9834) = 48314442

Factors of 9826

List of positive integer factors of 9826 that divides 9826 without a remainder.

1, 2, 17, 34, 289, 578, 4913, 9826

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

Least Common Multiple of 9826 and 9834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9826 and 9834, than apply into the LCM equation.

GCF(9826,9834) = 2
LCM(9826,9834) = ( 9826 × 9834) / 2
LCM(9826,9834) = 96628884 / 2
LCM(9826,9834) = 48314442

Properties of LCM 9826 and 9834

(i) The LCM of 9834 and 9826 is associative

LCM of 9826 and 9834 = LCM of 9834 and 9826

Related Least Common Multiples of 9826

Related Least Common Multiples of 9834

Frequently Asked Questions on LCM of 9826 and 9834

1. What is the LCM of 9826 and 9834?

Answer: LCM of 9826 and 9834 is 48314442.

2. What are the Factors of 9826?

Answer: Factors of 9826 are 1, 2, 17, 34, 289, 578, 4913, 9826. There are 8 integers that are factors of 9826. The greatest factor of 9826 is 9826.

3. 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.

4. How to Find the LCM of 9826 and 9834?

Answer:

Least Common Multiple of 9826 and 9834 = 48314442

Step 1: Find the prime factorization of 9826

9826 = 2 x 17 x 17 x 17

Step 2: Find the prime factorization of 9834

9834 = 2 x 3 x 11 x 149

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

LCM = 48314442 = 2 x 3 x 11 x 17 x 17 x 17 x 149

Step 4: Therefore, the least common multiple of 9826 and 9834 is 48314442.