Least Common Multiple of 6797 and 6798
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6797 and 6798 the smallest integer that is 46206006 that is divisible by both numbers.
Least Common Multiple (LCM) of 6797 and 6798 is 46206006.
LCM(6797,6798) = 46206006
LCM of 6797 and 6798
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6797 and 6798 by Prime method
- Least Common Multiple of 6797 and 6798 with GCF Formula
LCM of 6797 and 6798 is 46206006
Least common multiple can be found by multiplying the highest exponent prime factors of 6797 and 6798. First we will calculate the prime factors of 6797 and 6798.
Prime Factorization of 6797
| 7 | 6797 |
| 971 | 971 |
| 1 |
Prime factors of 6797 are 7,971. Prime factorization of 6797 in exponential form is:
6797 = 71×9711
Prime Factorization of 6798
| 2 | 6798 |
| 3 | 3399 |
| 11 | 1133 |
| 103 | 103 |
| 1 |
Prime factors of 6798 are 2, 3, 11,103. Prime factorization of 6798 in exponential form is:
6798 = 21×31×111×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 6797 and 6798.
LCM(6797,6798) = 21×31×71×111×1031×9711
LCM(6797,6798) = 46206006
Factors of 6797
List of positive integer factors of 6797 that divides 6797 without a remainder.
1, 7, 971, 6797
Factors of 6798
List of positive integer factors of 6798 that divides 6798 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798
Least Common Multiple of 6797 and 6798 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6797 and 6798, than apply into the LCM equation.
GCF(6797,6798) = 1
LCM(6797,6798) = ( 6797 × 6798) / 1
LCM(6797,6798) = 46206006 / 1
LCM(6797,6798) = 46206006
Properties of LCM 6797 and 6798
(i) The LCM of 6798 and 6797 is associative
LCM of 6797 and 6798 = LCM of 6798 and 6797
Related Least Common Multiples of 6797
Related Least Common Multiples of 6798
Frequently Asked Questions on LCM of 6797 and 6798
1. What is the LCM of 6797 and 6798?
Answer: LCM of 6797 and 6798 is 46206006.
2. What are the Factors of 6797?
Answer: Factors of 6797 are 1, 7, 971, 6797. There are 4 integers that are factors of 6797. The greatest factor of 6797 is 6797.
3. What are the Factors of 6798?
Answer: Factors of 6798 are 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798. There are 16 integers that are factors of 6798. The greatest factor of 6798 is 6798.
4. How to Find the LCM of 6797 and 6798?
Answer:
Least Common Multiple of 6797 and 6798 = 46206006
Step 1: Find the prime factorization of 6797
6797 = 7 x 971
Step 2: Find the prime factorization of 6798
6798 = 2 x 3 x 11 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46206006 = 2 x 3 x 7 x 11 x 103 x 971
Step 4: Therefore, the least common multiple of 6797 and 6798 is 46206006.
