Least Common Multiple of 6814 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 6814 and 6821 the smallest integer that is 46478294 that is divisible by both numbers.
Least Common Multiple (LCM) of 6814 and 6821 is 46478294.
LCM(6814,6821) = 46478294
LCM of 6814 and 6821
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6814 and 6821 by Prime method
- Least Common Multiple of 6814 and 6821 with GCF Formula
LCM of 6814 and 6821 is 46478294
Least common multiple can be found by multiplying the highest exponent prime factors of 6814 and 6821. First we will calculate the prime factors of 6814 and 6821.
Prime Factorization of 6814
| 2 | 6814 |
| 3407 | 3407 |
| 1 |
Prime factors of 6814 are 2,3407. Prime factorization of 6814 in exponential form is:
6814 = 21×34071
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 6814 and 6821.
LCM(6814,6821) = 21×191×3591×34071
LCM(6814,6821) = 46478294
Factors of 6814
List of positive integer factors of 6814 that divides 6814 without a remainder.
1, 2, 3407, 6814
Factors of 6821
List of positive integer factors of 6821 that divides 6821 without a remainder.
1, 19, 359, 6821
Least Common Multiple of 6814 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 6814 and 6821, than apply into the LCM equation.
GCF(6814,6821) = 1
LCM(6814,6821) = ( 6814 × 6821) / 1
LCM(6814,6821) = 46478294 / 1
LCM(6814,6821) = 46478294
Properties of LCM 6814 and 6821
(i) The LCM of 6821 and 6814 is associative
LCM of 6814 and 6821 = LCM of 6821 and 6814
Related Least Common Multiples of 6814
Related Least Common Multiples of 6821
Frequently Asked Questions on LCM of 6814 and 6821
1. What is the LCM of 6814 and 6821?
Answer: LCM of 6814 and 6821 is 46478294.
2. What are the Factors of 6814?
Answer: Factors of 6814 are 1, 2, 3407, 6814. There are 4 integers that are factors of 6814. The greatest factor of 6814 is 6814.
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 6814 and 6821?
Answer:
Least Common Multiple of 6814 and 6821 = 46478294
Step 1: Find the prime factorization of 6814
6814 = 2 x 3407
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 = 46478294 = 2 x 19 x 359 x 3407
Step 4: Therefore, the least common multiple of 6814 and 6821 is 46478294.