Least Common Multiple of 9835 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 9835 and 9842 the smallest integer that is 13828010 that is divisible by both numbers.
Least Common Multiple (LCM) of 9835 and 9842 is 13828010.
LCM(9835,9842) = 13828010
LCM of 9835 and 9842
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9835 and 9842 by Prime method
- Least Common Multiple of 9835 and 9842 with GCF Formula
LCM of 9835 and 9842 is 13828010
Least common multiple can be found by multiplying the highest exponent prime factors of 9835 and 9842. First we will calculate the prime factors of 9835 and 9842.
Prime Factorization of 9835
| 5 | 9835 |
| 7 | 1967 |
| 281 | 281 |
| 1 |
Prime factors of 9835 are 5, 7,281. Prime factorization of 9835 in exponential form is:
9835 = 51×71×2811
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 9835 and 9842.
LCM(9835,9842) = 21×51×71×191×371×2811
LCM(9835,9842) = 13828010
Factors of 9835
List of positive integer factors of 9835 that divides 9835 without a remainder.
1, 5, 7, 35, 281, 1405, 1967, 9835
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 9835 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 9835 and 9842, than apply into the LCM equation.
GCF(9835,9842) = 7
LCM(9835,9842) = ( 9835 × 9842) / 7
LCM(9835,9842) = 96796070 / 7
LCM(9835,9842) = 13828010
Properties of LCM 9835 and 9842
(i) The LCM of 9842 and 9835 is associative
LCM of 9835 and 9842 = LCM of 9842 and 9835
Related Least Common Multiples of 9835
Related Least Common Multiples of 9842
Frequently Asked Questions on LCM of 9835 and 9842
1. What is the LCM of 9835 and 9842?
Answer: LCM of 9835 and 9842 is 13828010.
2. What are the Factors of 9835?
Answer: Factors of 9835 are 1, 5, 7, 35, 281, 1405, 1967, 9835. There are 8 integers that are factors of 9835. The greatest factor of 9835 is 9835.
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 9835 and 9842?
Answer:
Least Common Multiple of 9835 and 9842 = 13828010
Step 1: Find the prime factorization of 9835
9835 = 5 x 7 x 281
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 = 13828010 = 2 x 5 x 7 x 19 x 37 x 281
Step 4: Therefore, the least common multiple of 9835 and 9842 is 13828010.