Least Common Multiple of 5543 and 5547
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5543 and 5547 the smallest integer that is 30747021 that is divisible by both numbers.
Least Common Multiple (LCM) of 5543 and 5547 is 30747021.
LCM(5543,5547) = 30747021
LCM of 5543 and 5547
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5543 and 5547 by Prime method
- Least Common Multiple of 5543 and 5547 with GCF Formula
LCM of 5543 and 5547 is 30747021
Least common multiple can be found by multiplying the highest exponent prime factors of 5543 and 5547. First we will calculate the prime factors of 5543 and 5547.
Prime Factorization of 5543
| 23 | 5543 |
| 241 | 241 |
| 1 |
Prime factors of 5543 are 23,241. Prime factorization of 5543 in exponential form is:
5543 = 231×2411
Prime Factorization of 5547
| 3 | 5547 |
| 43 | 1849 |
| 43 | 43 |
| 1 |
Prime factors of 5547 are 3,43. Prime factorization of 5547 in exponential form is:
5547 = 31×432
Now multiplying the highest exponent prime factors to calculate the LCM of 5543 and 5547.
LCM(5543,5547) = 31×231×432×2411
LCM(5543,5547) = 30747021
Factors of 5543
List of positive integer factors of 5543 that divides 5543 without a remainder.
1, 23, 241, 5543
Factors of 5547
List of positive integer factors of 5547 that divides 5547 without a remainder.
1, 3, 43, 129, 1849, 5547
Least Common Multiple of 5543 and 5547 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5543 and 5547, than apply into the LCM equation.
GCF(5543,5547) = 1
LCM(5543,5547) = ( 5543 × 5547) / 1
LCM(5543,5547) = 30747021 / 1
LCM(5543,5547) = 30747021
Properties of LCM 5543 and 5547
(i) The LCM of 5547 and 5543 is associative
LCM of 5543 and 5547 = LCM of 5547 and 5543
Related Least Common Multiples of 5543
Related Least Common Multiples of 5547
Frequently Asked Questions on LCM of 5543 and 5547
1. What is the LCM of 5543 and 5547?
Answer: LCM of 5543 and 5547 is 30747021.
2. What are the Factors of 5543?
Answer: Factors of 5543 are 1, 23, 241, 5543. There are 4 integers that are factors of 5543. The greatest factor of 5543 is 5543.
3. What are the Factors of 5547?
Answer: Factors of 5547 are 1, 3, 43, 129, 1849, 5547. There are 6 integers that are factors of 5547. The greatest factor of 5547 is 5547.
4. How to Find the LCM of 5543 and 5547?
Answer:
Least Common Multiple of 5543 and 5547 = 30747021
Step 1: Find the prime factorization of 5543
5543 = 23 x 241
Step 2: Find the prime factorization of 5547
5547 = 3 x 43 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30747021 = 3 x 23 x 43 x 43 x 241
Step 4: Therefore, the least common multiple of 5543 and 5547 is 30747021.