Least Common Multiple of 5505 and 5513
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5505 and 5513 the smallest integer that is 30349065 that is divisible by both numbers.
Least Common Multiple (LCM) of 5505 and 5513 is 30349065.
LCM(5505,5513) = 30349065
LCM of 5505 and 5513
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5505 and 5513 by Prime method
- Least Common Multiple of 5505 and 5513 with GCF Formula
LCM of 5505 and 5513 is 30349065
Least common multiple can be found by multiplying the highest exponent prime factors of 5505 and 5513. First we will calculate the prime factors of 5505 and 5513.
Prime Factorization of 5505
| 3 | 5505 |
| 5 | 1835 |
| 367 | 367 |
| 1 |
Prime factors of 5505 are 3, 5,367. Prime factorization of 5505 in exponential form is:
5505 = 31×51×3671
Prime Factorization of 5513
| 37 | 5513 |
| 149 | 149 |
| 1 |
Prime factors of 5513 are 37,149. Prime factorization of 5513 in exponential form is:
5513 = 371×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 5505 and 5513.
LCM(5505,5513) = 31×51×371×1491×3671
LCM(5505,5513) = 30349065
Factors of 5505
List of positive integer factors of 5505 that divides 5505 without a remainder.
1, 3, 5, 15, 367, 1101, 1835, 5505
Factors of 5513
List of positive integer factors of 5513 that divides 5513 without a remainder.
1, 37, 149, 5513
Least Common Multiple of 5505 and 5513 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5505 and 5513, than apply into the LCM equation.
GCF(5505,5513) = 1
LCM(5505,5513) = ( 5505 × 5513) / 1
LCM(5505,5513) = 30349065 / 1
LCM(5505,5513) = 30349065
Properties of LCM 5505 and 5513
(i) The LCM of 5513 and 5505 is associative
LCM of 5505 and 5513 = LCM of 5513 and 5505
Related Least Common Multiples of 5505
Related Least Common Multiples of 5513
Frequently Asked Questions on LCM of 5505 and 5513
1. What is the LCM of 5505 and 5513?
Answer: LCM of 5505 and 5513 is 30349065.
2. What are the Factors of 5505?
Answer: Factors of 5505 are 1, 3, 5, 15, 367, 1101, 1835, 5505. There are 8 integers that are factors of 5505. The greatest factor of 5505 is 5505.
3. What are the Factors of 5513?
Answer: Factors of 5513 are 1, 37, 149, 5513. There are 4 integers that are factors of 5513. The greatest factor of 5513 is 5513.
4. How to Find the LCM of 5505 and 5513?
Answer:
Least Common Multiple of 5505 and 5513 = 30349065
Step 1: Find the prime factorization of 5505
5505 = 3 x 5 x 367
Step 2: Find the prime factorization of 5513
5513 = 37 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30349065 = 3 x 5 x 37 x 149 x 367
Step 4: Therefore, the least common multiple of 5505 and 5513 is 30349065.