Least Common Multiple of 6809 and 6815
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6809 and 6815 the smallest integer that is 46403335 that is divisible by both numbers.
Least Common Multiple (LCM) of 6809 and 6815 is 46403335.
LCM(6809,6815) = 46403335
LCM of 6809 and 6815
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6809 and 6815 by Prime method
- Least Common Multiple of 6809 and 6815 with GCF Formula
LCM of 6809 and 6815 is 46403335
Least common multiple can be found by multiplying the highest exponent prime factors of 6809 and 6815. First we will calculate the prime factors of 6809 and 6815.
Prime Factorization of 6809
| 11 | 6809 |
| 619 | 619 |
| 1 |
Prime factors of 6809 are 11,619. Prime factorization of 6809 in exponential form is:
6809 = 111×6191
Prime Factorization of 6815
| 5 | 6815 |
| 29 | 1363 |
| 47 | 47 |
| 1 |
Prime factors of 6815 are 5, 29,47. Prime factorization of 6815 in exponential form is:
6815 = 51×291×471
Now multiplying the highest exponent prime factors to calculate the LCM of 6809 and 6815.
LCM(6809,6815) = 51×111×291×471×6191
LCM(6809,6815) = 46403335
Factors of 6809
List of positive integer factors of 6809 that divides 6809 without a remainder.
1, 11, 619, 6809
Factors of 6815
List of positive integer factors of 6815 that divides 6815 without a remainder.
1, 5, 29, 47, 145, 235, 1363, 6815
Least Common Multiple of 6809 and 6815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6809 and 6815, than apply into the LCM equation.
GCF(6809,6815) = 1
LCM(6809,6815) = ( 6809 × 6815) / 1
LCM(6809,6815) = 46403335 / 1
LCM(6809,6815) = 46403335
Properties of LCM 6809 and 6815
(i) The LCM of 6815 and 6809 is associative
LCM of 6809 and 6815 = LCM of 6815 and 6809
Related Least Common Multiples of 6809
Related Least Common Multiples of 6815
Frequently Asked Questions on LCM of 6809 and 6815
1. What is the LCM of 6809 and 6815?
Answer: LCM of 6809 and 6815 is 46403335.
2. What are the Factors of 6809?
Answer: Factors of 6809 are 1, 11, 619, 6809. There are 4 integers that are factors of 6809. The greatest factor of 6809 is 6809.
3. What are the Factors of 6815?
Answer: Factors of 6815 are 1, 5, 29, 47, 145, 235, 1363, 6815. There are 8 integers that are factors of 6815. The greatest factor of 6815 is 6815.
4. How to Find the LCM of 6809 and 6815?
Answer:
Least Common Multiple of 6809 and 6815 = 46403335
Step 1: Find the prime factorization of 6809
6809 = 11 x 619
Step 2: Find the prime factorization of 6815
6815 = 5 x 29 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46403335 = 5 x 11 x 29 x 47 x 619
Step 4: Therefore, the least common multiple of 6809 and 6815 is 46403335.