Least Common Multiple of 6798 and 6803
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6798 and 6803 the smallest integer that is 46246794 that is divisible by both numbers.
Least Common Multiple (LCM) of 6798 and 6803 is 46246794.
LCM(6798,6803) = 46246794
LCM of 6798 and 6803
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6798 and 6803 by Prime method
- Least Common Multiple of 6798 and 6803 with GCF Formula
LCM of 6798 and 6803 is 46246794
Least common multiple can be found by multiplying the highest exponent prime factors of 6798 and 6803. First we will calculate the prime factors of 6798 and 6803.
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
Prime Factorization of 6803
| 6803 | 6803 |
| 1 |
Prime factors of 6803 are 6803. Prime factorization of 6803 in exponential form is:
6803 = 68031
Now multiplying the highest exponent prime factors to calculate the LCM of 6798 and 6803.
LCM(6798,6803) = 21×31×111×1031×68031
LCM(6798,6803) = 46246794
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
Factors of 6803
List of positive integer factors of 6803 that divides 6803 without a remainder.
1, 6803
Least Common Multiple of 6798 and 6803 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6798 and 6803, than apply into the LCM equation.
GCF(6798,6803) = 1
LCM(6798,6803) = ( 6798 × 6803) / 1
LCM(6798,6803) = 46246794 / 1
LCM(6798,6803) = 46246794
Properties of LCM 6798 and 6803
(i) The LCM of 6803 and 6798 is associative
LCM of 6798 and 6803 = LCM of 6803 and 6798
Related Least Common Multiples of 6798
Related Least Common Multiples of 6803
Frequently Asked Questions on LCM of 6798 and 6803
1. What is the LCM of 6798 and 6803?
Answer: LCM of 6798 and 6803 is 46246794.
2. 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.
3. What are the Factors of 6803?
Answer: Factors of 6803 are 1, 6803. There are 2 integers that are factors of 6803. The greatest factor of 6803 is 6803.
4. How to Find the LCM of 6798 and 6803?
Answer:
Least Common Multiple of 6798 and 6803 = 46246794
Step 1: Find the prime factorization of 6798
6798 = 2 x 3 x 11 x 103
Step 2: Find the prime factorization of 6803
6803 = 6803
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46246794 = 2 x 3 x 11 x 103 x 6803
Step 4: Therefore, the least common multiple of 6798 and 6803 is 46246794.