Least Common Multiple of 6834 and 6841
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6834 and 6841 the smallest integer that is 46751394 that is divisible by both numbers.
Least Common Multiple (LCM) of 6834 and 6841 is 46751394.
LCM(6834,6841) = 46751394
LCM of 6834 and 6841
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6834 and 6841 by Prime method
- Least Common Multiple of 6834 and 6841 with GCF Formula
LCM of 6834 and 6841 is 46751394
Least common multiple can be found by multiplying the highest exponent prime factors of 6834 and 6841. First we will calculate the prime factors of 6834 and 6841.
Prime Factorization of 6834
| 2 | 6834 |
| 3 | 3417 |
| 17 | 1139 |
| 67 | 67 |
| 1 |
Prime factors of 6834 are 2, 3, 17,67. Prime factorization of 6834 in exponential form is:
6834 = 21×31×171×671
Prime Factorization of 6841
| 6841 | 6841 |
| 1 |
Prime factors of 6841 are 6841. Prime factorization of 6841 in exponential form is:
6841 = 68411
Now multiplying the highest exponent prime factors to calculate the LCM of 6834 and 6841.
LCM(6834,6841) = 21×31×171×671×68411
LCM(6834,6841) = 46751394
Factors of 6834
List of positive integer factors of 6834 that divides 6834 without a remainder.
1, 2, 3, 6, 17, 34, 51, 67, 102, 134, 201, 402, 1139, 2278, 3417, 6834
Factors of 6841
List of positive integer factors of 6841 that divides 6841 without a remainder.
1, 6841
Least Common Multiple of 6834 and 6841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6834 and 6841, than apply into the LCM equation.
GCF(6834,6841) = 1
LCM(6834,6841) = ( 6834 × 6841) / 1
LCM(6834,6841) = 46751394 / 1
LCM(6834,6841) = 46751394
Properties of LCM 6834 and 6841
(i) The LCM of 6841 and 6834 is associative
LCM of 6834 and 6841 = LCM of 6841 and 6834
Related Least Common Multiples of 6834
Related Least Common Multiples of 6841
Frequently Asked Questions on LCM of 6834 and 6841
1. What is the LCM of 6834 and 6841?
Answer: LCM of 6834 and 6841 is 46751394.
2. What are the Factors of 6834?
Answer: Factors of 6834 are 1, 2, 3, 6, 17, 34, 51, 67, 102, 134, 201, 402, 1139, 2278, 3417, 6834. There are 16 integers that are factors of 6834. The greatest factor of 6834 is 6834.
3. What are the Factors of 6841?
Answer: Factors of 6841 are 1, 6841. There are 2 integers that are factors of 6841. The greatest factor of 6841 is 6841.
4. How to Find the LCM of 6834 and 6841?
Answer:
Least Common Multiple of 6834 and 6841 = 46751394
Step 1: Find the prime factorization of 6834
6834 = 2 x 3 x 17 x 67
Step 2: Find the prime factorization of 6841
6841 = 6841
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46751394 = 2 x 3 x 17 x 67 x 6841
Step 4: Therefore, the least common multiple of 6834 and 6841 is 46751394.