Least Common Multiple of 6842 and 6847
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6842 and 6847 the smallest integer that is 46847174 that is divisible by both numbers.
Least Common Multiple (LCM) of 6842 and 6847 is 46847174.
LCM(6842,6847) = 46847174
LCM of 6842 and 6847
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6842 and 6847 by Prime method
- Least Common Multiple of 6842 and 6847 with GCF Formula
LCM of 6842 and 6847 is 46847174
Least common multiple can be found by multiplying the highest exponent prime factors of 6842 and 6847. First we will calculate the prime factors of 6842 and 6847.
Prime Factorization of 6842
| 2 | 6842 |
| 11 | 3421 |
| 311 | 311 |
| 1 |
Prime factors of 6842 are 2, 11,311. Prime factorization of 6842 in exponential form is:
6842 = 21×111×3111
Prime Factorization of 6847
| 41 | 6847 |
| 167 | 167 |
| 1 |
Prime factors of 6847 are 41,167. Prime factorization of 6847 in exponential form is:
6847 = 411×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 6842 and 6847.
LCM(6842,6847) = 21×111×411×1671×3111
LCM(6842,6847) = 46847174
Factors of 6842
List of positive integer factors of 6842 that divides 6842 without a remainder.
1, 2, 11, 22, 311, 622, 3421, 6842
Factors of 6847
List of positive integer factors of 6847 that divides 6847 without a remainder.
1, 41, 167, 6847
Least Common Multiple of 6842 and 6847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6842 and 6847, than apply into the LCM equation.
GCF(6842,6847) = 1
LCM(6842,6847) = ( 6842 × 6847) / 1
LCM(6842,6847) = 46847174 / 1
LCM(6842,6847) = 46847174
Properties of LCM 6842 and 6847
(i) The LCM of 6847 and 6842 is associative
LCM of 6842 and 6847 = LCM of 6847 and 6842
Related Least Common Multiples of 6842
Related Least Common Multiples of 6847
Frequently Asked Questions on LCM of 6842 and 6847
1. What is the LCM of 6842 and 6847?
Answer: LCM of 6842 and 6847 is 46847174.
2. What are the Factors of 6842?
Answer: Factors of 6842 are 1, 2, 11, 22, 311, 622, 3421, 6842. There are 8 integers that are factors of 6842. The greatest factor of 6842 is 6842.
3. What are the Factors of 6847?
Answer: Factors of 6847 are 1, 41, 167, 6847. There are 4 integers that are factors of 6847. The greatest factor of 6847 is 6847.
4. How to Find the LCM of 6842 and 6847?
Answer:
Least Common Multiple of 6842 and 6847 = 46847174
Step 1: Find the prime factorization of 6842
6842 = 2 x 11 x 311
Step 2: Find the prime factorization of 6847
6847 = 41 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46847174 = 2 x 11 x 41 x 167 x 311
Step 4: Therefore, the least common multiple of 6842 and 6847 is 46847174.