Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6801 and 6803 the smallest integer that is 46267203 that is divisible by both numbers.
Least Common Multiple (LCM) of 6801 and 6803 is 46267203.
LCM(6801,6803) = 46267203
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6801 and 6803. First we will calculate the prime factors of 6801 and 6803.
Prime Factorization of 6801
3 | 6801 |
2267 | 2267 |
1 |
Prime factors of 6801 are 3,2267. Prime factorization of 6801 in exponential form is:
6801 = 31×22671
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 6801 and 6803.
LCM(6801,6803) = 31×22671×68031
LCM(6801,6803) = 46267203
Factors of 6801
List of positive integer factors of 6801 that divides 6801 without a remainder.
1, 3, 2267, 6801
Factors of 6803
List of positive integer factors of 6803 that divides 6803 without a remainder.
1, 6803
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6801 and 6803, than apply into the LCM equation.
GCF(6801,6803) = 1
LCM(6801,6803) = ( 6801 × 6803) / 1
LCM(6801,6803) = 46267203 / 1
LCM(6801,6803) = 46267203
(i) The LCM of 6803 and 6801 is associative
LCM of 6801 and 6803 = LCM of 6803 and 6801
1. What is the LCM of 6801 and 6803?
Answer: LCM of 6801 and 6803 is 46267203.
2. What are the Factors of 6801?
Answer: Factors of 6801 are 1, 3, 2267, 6801. There are 4 integers that are factors of 6801. The greatest factor of 6801 is 6801.
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 6801 and 6803?
Answer:
Least Common Multiple of 6801 and 6803 = 46267203
Step 1: Find the prime factorization of 6801
6801 = 3 x 2267
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 = 46267203 = 3 x 2267 x 6803
Step 4: Therefore, the least common multiple of 6801 and 6803 is 46267203.