Least Common Multiple of 6821 and 6826
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6821 and 6826 the smallest integer that is 46560146 that is divisible by both numbers.
Least Common Multiple (LCM) of 6821 and 6826 is 46560146.
LCM(6821,6826) = 46560146
LCM of 6821 and 6826
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6821 and 6826 by Prime method
- Least Common Multiple of 6821 and 6826 with GCF Formula
LCM of 6821 and 6826 is 46560146
Least common multiple can be found by multiplying the highest exponent prime factors of 6821 and 6826. First we will calculate the prime factors of 6821 and 6826.
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
Prime Factorization of 6826
| 2 | 6826 |
| 3413 | 3413 |
| 1 |
Prime factors of 6826 are 2,3413. Prime factorization of 6826 in exponential form is:
6826 = 21×34131
Now multiplying the highest exponent prime factors to calculate the LCM of 6821 and 6826.
LCM(6821,6826) = 21×191×3591×34131
LCM(6821,6826) = 46560146
Factors of 6821
List of positive integer factors of 6821 that divides 6821 without a remainder.
1, 19, 359, 6821
Factors of 6826
List of positive integer factors of 6826 that divides 6826 without a remainder.
1, 2, 3413, 6826
Least Common Multiple of 6821 and 6826 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6821 and 6826, than apply into the LCM equation.
GCF(6821,6826) = 1
LCM(6821,6826) = ( 6821 × 6826) / 1
LCM(6821,6826) = 46560146 / 1
LCM(6821,6826) = 46560146
Properties of LCM 6821 and 6826
(i) The LCM of 6826 and 6821 is associative
LCM of 6821 and 6826 = LCM of 6826 and 6821
Related Least Common Multiples of 6821
Related Least Common Multiples of 6826
Frequently Asked Questions on LCM of 6821 and 6826
1. What is the LCM of 6821 and 6826?
Answer: LCM of 6821 and 6826 is 46560146.
2. 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.
3. What are the Factors of 6826?
Answer: Factors of 6826 are 1, 2, 3413, 6826. There are 4 integers that are factors of 6826. The greatest factor of 6826 is 6826.
4. How to Find the LCM of 6821 and 6826?
Answer:
Least Common Multiple of 6821 and 6826 = 46560146
Step 1: Find the prime factorization of 6821
6821 = 19 x 359
Step 2: Find the prime factorization of 6826
6826 = 2 x 3413
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46560146 = 2 x 19 x 359 x 3413
Step 4: Therefore, the least common multiple of 6821 and 6826 is 46560146.