Least Common Multiple of 9834 and 9842

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 9842 the smallest integer that is 48393114 that is divisible by both numbers.

Least Common Multiple (LCM) of 9834 and 9842 is 48393114.

LCM(9834,9842) = 48393114

LCM of 9834 and 9842

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

LCM of:
and

Least Common Multiple of 9834 and 9842

LCM of 9834 and 9842 is 48393114

Least common multiple can be found by multiplying the highest exponent prime factors of 9834 and 9842. First we will calculate the prime factors of 9834 and 9842.

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 9842


2 9842
7 4921
19 703
37 37
1

Prime factors of 9842 are 2, 7, 19,37. Prime factorization of 9842 in exponential form is:

9842 = 21×71×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 9834 and 9842.

LCM(9834,9842) = 21×31×71×111×191×371×1491
LCM(9834,9842) = 48393114

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 9842

List of positive integer factors of 9842 that divides 9842 without a remainder.

1, 2, 7, 14, 19, 37, 38, 74, 133, 259, 266, 518, 703, 1406, 4921, 9842

Least Common Multiple of 9834 and 9842 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 9842, than apply into the LCM equation.

GCF(9834,9842) = 2
LCM(9834,9842) = ( 9834 × 9842) / 2
LCM(9834,9842) = 96786228 / 2
LCM(9834,9842) = 48393114

Properties of LCM 9834 and 9842

(i) The LCM of 9842 and 9834 is associative

LCM of 9834 and 9842 = LCM of 9842 and 9834

Related Least Common Multiples of 9834

Related Least Common Multiples of 9842

Frequently Asked Questions on LCM of 9834 and 9842

1. What is the LCM of 9834 and 9842?

Answer: LCM of 9834 and 9842 is 48393114.

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 9842?

Answer: Factors of 9842 are 1, 2, 7, 14, 19, 37, 38, 74, 133, 259, 266, 518, 703, 1406, 4921, 9842. There are 16 integers that are factors of 9842. The greatest factor of 9842 is 9842.

4. How to Find the LCM of 9834 and 9842?

Answer:

Least Common Multiple of 9834 and 9842 = 48393114

Step 1: Find the prime factorization of 9834

9834 = 2 x 3 x 11 x 149

Step 2: Find the prime factorization of 9842

9842 = 2 x 7 x 19 x 37

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

LCM = 48393114 = 2 x 3 x 7 x 11 x 19 x 37 x 149

Step 4: Therefore, the least common multiple of 9834 and 9842 is 48393114.