Least Common Multiple of 5535 and 5539
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 5539 the smallest integer that is 30658365 that is divisible by both numbers.
Least Common Multiple (LCM) of 5535 and 5539 is 30658365.
LCM(5535,5539) = 30658365
LCM of 5535 and 5539
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5535 and 5539 by Prime method
- Least Common Multiple of 5535 and 5539 with GCF Formula
LCM of 5535 and 5539 is 30658365
Least common multiple can be found by multiplying the highest exponent prime factors of 5535 and 5539. First we will calculate the prime factors of 5535 and 5539.
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 5539
| 29 | 5539 |
| 191 | 191 |
| 1 |
Prime factors of 5539 are 29,191. Prime factorization of 5539 in exponential form is:
5539 = 291×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 5535 and 5539.
LCM(5535,5539) = 33×51×291×411×1911
LCM(5535,5539) = 30658365
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 5539
List of positive integer factors of 5539 that divides 5539 without a remainder.
1, 29, 191, 5539
Least Common Multiple of 5535 and 5539 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 5539, than apply into the LCM equation.
GCF(5535,5539) = 1
LCM(5535,5539) = ( 5535 × 5539) / 1
LCM(5535,5539) = 30658365 / 1
LCM(5535,5539) = 30658365
Properties of LCM 5535 and 5539
(i) The LCM of 5539 and 5535 is associative
LCM of 5535 and 5539 = LCM of 5539 and 5535
Related Least Common Multiples of 5535
Related Least Common Multiples of 5539
Frequently Asked Questions on LCM of 5535 and 5539
1. What is the LCM of 5535 and 5539?
Answer: LCM of 5535 and 5539 is 30658365.
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 5539?
Answer: Factors of 5539 are 1, 29, 191, 5539. There are 4 integers that are factors of 5539. The greatest factor of 5539 is 5539.
4. How to Find the LCM of 5535 and 5539?
Answer:
Least Common Multiple of 5535 and 5539 = 30658365
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 5539
5539 = 29 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30658365 = 3 x 3 x 3 x 5 x 29 x 41 x 191
Step 4: Therefore, the least common multiple of 5535 and 5539 is 30658365.