Least Common Multiple of 6817 and 6821
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6817 and 6821 the smallest integer that is 46498757 that is divisible by both numbers.
Least Common Multiple (LCM) of 6817 and 6821 is 46498757.
LCM(6817,6821) = 46498757
LCM of 6817 and 6821
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6817 and 6821 by Prime method
- Least Common Multiple of 6817 and 6821 with GCF Formula
LCM of 6817 and 6821 is 46498757
Least common multiple can be found by multiplying the highest exponent prime factors of 6817 and 6821. First we will calculate the prime factors of 6817 and 6821.
Prime Factorization of 6817
| 17 | 6817 |
| 401 | 401 |
| 1 |
Prime factors of 6817 are 17,401. Prime factorization of 6817 in exponential form is:
6817 = 171×4011
Prime Factorization of 6821
| 19 | 6821 |
| 359 | 359 |
| 1 |
Prime factors of 6821 are 19,359. Prime factorization of 6821 in exponential form is:
6821 = 191×3591
Now multiplying the highest exponent prime factors to calculate the LCM of 6817 and 6821.
LCM(6817,6821) = 171×191×3591×4011
LCM(6817,6821) = 46498757
Factors of 6817
List of positive integer factors of 6817 that divides 6817 without a remainder.
1, 17, 401, 6817
Factors of 6821
List of positive integer factors of 6821 that divides 6821 without a remainder.
1, 19, 359, 6821
Least Common Multiple of 6817 and 6821 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6817 and 6821, than apply into the LCM equation.
GCF(6817,6821) = 1
LCM(6817,6821) = ( 6817 × 6821) / 1
LCM(6817,6821) = 46498757 / 1
LCM(6817,6821) = 46498757
Properties of LCM 6817 and 6821
(i) The LCM of 6821 and 6817 is associative
LCM of 6817 and 6821 = LCM of 6821 and 6817
Related Least Common Multiples of 6817
Related Least Common Multiples of 6821
Frequently Asked Questions on LCM of 6817 and 6821
1. What is the LCM of 6817 and 6821?
Answer: LCM of 6817 and 6821 is 46498757.
2. What are the Factors of 6817?
Answer: Factors of 6817 are 1, 17, 401, 6817. There are 4 integers that are factors of 6817. The greatest factor of 6817 is 6817.
3. What are the Factors of 6821?
Answer: Factors of 6821 are 1, 19, 359, 6821. There are 4 integers that are factors of 6821. The greatest factor of 6821 is 6821.
4. How to Find the LCM of 6817 and 6821?
Answer:
Least Common Multiple of 6817 and 6821 = 46498757
Step 1: Find the prime factorization of 6817
6817 = 17 x 401
Step 2: Find the prime factorization of 6821
6821 = 19 x 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46498757 = 17 x 19 x 359 x 401
Step 4: Therefore, the least common multiple of 6817 and 6821 is 46498757.