Least Common Multiple of 6834 and 6835
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 6835 the smallest integer that is 46710390 that is divisible by both numbers.
Least Common Multiple (LCM) of 6834 and 6835 is 46710390.
LCM(6834,6835) = 46710390
LCM of 6834 and 6835
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6834 and 6835 by Prime method
- Least Common Multiple of 6834 and 6835 with GCF Formula
LCM of 6834 and 6835 is 46710390
Least common multiple can be found by multiplying the highest exponent prime factors of 6834 and 6835. First we will calculate the prime factors of 6834 and 6835.
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 6835
| 5 | 6835 |
| 1367 | 1367 |
| 1 |
Prime factors of 6835 are 5,1367. Prime factorization of 6835 in exponential form is:
6835 = 51×13671
Now multiplying the highest exponent prime factors to calculate the LCM of 6834 and 6835.
LCM(6834,6835) = 21×31×51×171×671×13671
LCM(6834,6835) = 46710390
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 6835
List of positive integer factors of 6835 that divides 6835 without a remainder.
1, 5, 1367, 6835
Least Common Multiple of 6834 and 6835 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 6835, than apply into the LCM equation.
GCF(6834,6835) = 1
LCM(6834,6835) = ( 6834 × 6835) / 1
LCM(6834,6835) = 46710390 / 1
LCM(6834,6835) = 46710390
Properties of LCM 6834 and 6835
(i) The LCM of 6835 and 6834 is associative
LCM of 6834 and 6835 = LCM of 6835 and 6834
Related Least Common Multiples of 6834
Related Least Common Multiples of 6835
Frequently Asked Questions on LCM of 6834 and 6835
1. What is the LCM of 6834 and 6835?
Answer: LCM of 6834 and 6835 is 46710390.
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 6835?
Answer: Factors of 6835 are 1, 5, 1367, 6835. There are 4 integers that are factors of 6835. The greatest factor of 6835 is 6835.
4. How to Find the LCM of 6834 and 6835?
Answer:
Least Common Multiple of 6834 and 6835 = 46710390
Step 1: Find the prime factorization of 6834
6834 = 2 x 3 x 17 x 67
Step 2: Find the prime factorization of 6835
6835 = 5 x 1367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46710390 = 2 x 3 x 5 x 17 x 67 x 1367
Step 4: Therefore, the least common multiple of 6834 and 6835 is 46710390.