Least Common Multiple of 5535 and 5543
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5535 and 5543 the smallest integer that is 30680505 that is divisible by both numbers.
Least Common Multiple (LCM) of 5535 and 5543 is 30680505.
LCM(5535,5543) = 30680505
LCM of 5535 and 5543
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5535 and 5543 by Prime method
- Least Common Multiple of 5535 and 5543 with GCF Formula
LCM of 5535 and 5543 is 30680505
Least common multiple can be found by multiplying the highest exponent prime factors of 5535 and 5543. First we will calculate the prime factors of 5535 and 5543.
Prime Factorization of 5535
| 3 | 5535 |
| 3 | 1845 |
| 3 | 615 |
| 5 | 205 |
| 41 | 41 |
| 1 |
Prime factors of 5535 are 3, 5,41. Prime factorization of 5535 in exponential form is:
5535 = 33×51×411
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5535 and 5543.
LCM(5535,5543) = 33×51×231×411×2411
LCM(5535,5543) = 30680505
Factors of 5535
List of positive integer factors of 5535 that divides 5535 without a remainder.
1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535
Factors of 5543
List of positive integer factors of 5543 that divides 5543 without a remainder.
1, 23, 241, 5543
Least Common Multiple of 5535 and 5543 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5535 and 5543, than apply into the LCM equation.
GCF(5535,5543) = 1
LCM(5535,5543) = ( 5535 × 5543) / 1
LCM(5535,5543) = 30680505 / 1
LCM(5535,5543) = 30680505
Properties of LCM 5535 and 5543
(i) The LCM of 5543 and 5535 is associative
LCM of 5535 and 5543 = LCM of 5543 and 5535
Related Least Common Multiples of 5535
Related Least Common Multiples of 5543
Frequently Asked Questions on LCM of 5535 and 5543
1. What is the LCM of 5535 and 5543?
Answer: LCM of 5535 and 5543 is 30680505.
2. What are the Factors of 5535?
Answer: Factors of 5535 are 1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535. There are 16 integers that are factors of 5535. The greatest factor of 5535 is 5535.
3. 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.
4. How to Find the LCM of 5535 and 5543?
Answer:
Least Common Multiple of 5535 and 5543 = 30680505
Step 1: Find the prime factorization of 5535
5535 = 3 x 3 x 3 x 5 x 41
Step 2: Find the prime factorization of 5543
5543 = 23 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30680505 = 3 x 3 x 3 x 5 x 23 x 41 x 241
Step 4: Therefore, the least common multiple of 5535 and 5543 is 30680505.