Least Common Multiple of 6813 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 6813 and 6821 the smallest integer that is 46471473 that is divisible by both numbers.
Least Common Multiple (LCM) of 6813 and 6821 is 46471473.
LCM(6813,6821) = 46471473
LCM of 6813 and 6821
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6813 and 6821 by Prime method
- Least Common Multiple of 6813 and 6821 with GCF Formula
LCM of 6813 and 6821 is 46471473
Least common multiple can be found by multiplying the highest exponent prime factors of 6813 and 6821. First we will calculate the prime factors of 6813 and 6821.
Prime Factorization of 6813
| 3 | 6813 |
| 3 | 2271 |
| 757 | 757 |
| 1 |
Prime factors of 6813 are 3,757. Prime factorization of 6813 in exponential form is:
6813 = 32×7571
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 6813 and 6821.
LCM(6813,6821) = 32×191×3591×7571
LCM(6813,6821) = 46471473
Factors of 6813
List of positive integer factors of 6813 that divides 6813 without a remainder.
1, 3, 9, 757, 2271, 6813
Factors of 6821
List of positive integer factors of 6821 that divides 6821 without a remainder.
1, 19, 359, 6821
Least Common Multiple of 6813 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 6813 and 6821, than apply into the LCM equation.
GCF(6813,6821) = 1
LCM(6813,6821) = ( 6813 × 6821) / 1
LCM(6813,6821) = 46471473 / 1
LCM(6813,6821) = 46471473
Properties of LCM 6813 and 6821
(i) The LCM of 6821 and 6813 is associative
LCM of 6813 and 6821 = LCM of 6821 and 6813
Related Least Common Multiples of 6813
Related Least Common Multiples of 6821
Frequently Asked Questions on LCM of 6813 and 6821
1. What is the LCM of 6813 and 6821?
Answer: LCM of 6813 and 6821 is 46471473.
2. What are the Factors of 6813?
Answer: Factors of 6813 are 1, 3, 9, 757, 2271, 6813. There are 6 integers that are factors of 6813. The greatest factor of 6813 is 6813.
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 6813 and 6821?
Answer:
Least Common Multiple of 6813 and 6821 = 46471473
Step 1: Find the prime factorization of 6813
6813 = 3 x 3 x 757
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 = 46471473 = 3 x 3 x 19 x 359 x 757
Step 4: Therefore, the least common multiple of 6813 and 6821 is 46471473.