Least Common Multiple of 5814 and 5821
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5814 and 5821 the smallest integer that is 33843294 that is divisible by both numbers.
Least Common Multiple (LCM) of 5814 and 5821 is 33843294.
LCM(5814,5821) = 33843294
LCM of 5814 and 5821
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5814 and 5821 by Prime method
- Least Common Multiple of 5814 and 5821 with GCF Formula
LCM of 5814 and 5821 is 33843294
Least common multiple can be found by multiplying the highest exponent prime factors of 5814 and 5821. First we will calculate the prime factors of 5814 and 5821.
Prime Factorization of 5814
| 2 | 5814 |
| 3 | 2907 |
| 3 | 969 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 5814 are 2, 3, 17,19. Prime factorization of 5814 in exponential form is:
5814 = 21×32×171×191
Prime Factorization of 5821
| 5821 | 5821 |
| 1 |
Prime factors of 5821 are 5821. Prime factorization of 5821 in exponential form is:
5821 = 58211
Now multiplying the highest exponent prime factors to calculate the LCM of 5814 and 5821.
LCM(5814,5821) = 21×32×171×191×58211
LCM(5814,5821) = 33843294
Factors of 5814
List of positive integer factors of 5814 that divides 5814 without a remainder.
1, 2, 3, 6, 9, 17, 18, 19, 34, 38, 51, 57, 102, 114, 153, 171, 306, 323, 342, 646, 969, 1938, 2907, 5814
Factors of 5821
List of positive integer factors of 5821 that divides 5821 without a remainder.
1, 5821
Least Common Multiple of 5814 and 5821 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5814 and 5821, than apply into the LCM equation.
GCF(5814,5821) = 1
LCM(5814,5821) = ( 5814 × 5821) / 1
LCM(5814,5821) = 33843294 / 1
LCM(5814,5821) = 33843294
Properties of LCM 5814 and 5821
(i) The LCM of 5821 and 5814 is associative
LCM of 5814 and 5821 = LCM of 5821 and 5814
Related Least Common Multiples of 5814
Related Least Common Multiples of 5821
Frequently Asked Questions on LCM of 5814 and 5821
1. What is the LCM of 5814 and 5821?
Answer: LCM of 5814 and 5821 is 33843294.
2. What are the Factors of 5814?
Answer: Factors of 5814 are 1, 2, 3, 6, 9, 17, 18, 19, 34, 38, 51, 57, 102, 114, 153, 171, 306, 323, 342, 646, 969, 1938, 2907, 5814. There are 24 integers that are factors of 5814. The greatest factor of 5814 is 5814.
3. What are the Factors of 5821?
Answer: Factors of 5821 are 1, 5821. There are 2 integers that are factors of 5821. The greatest factor of 5821 is 5821.
4. How to Find the LCM of 5814 and 5821?
Answer:
Least Common Multiple of 5814 and 5821 = 33843294
Step 1: Find the prime factorization of 5814
5814 = 2 x 3 x 3 x 17 x 19
Step 2: Find the prime factorization of 5821
5821 = 5821
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33843294 = 2 x 3 x 3 x 17 x 19 x 5821
Step 4: Therefore, the least common multiple of 5814 and 5821 is 33843294.