Least Common Multiple of 5505 and 5509
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 5509 the smallest integer that is 30327045 that is divisible by both numbers.
Least Common Multiple (LCM) of 5505 and 5509 is 30327045.
LCM(5505,5509) = 30327045
LCM of 5505 and 5509
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5505 and 5509 by Prime method
- Least Common Multiple of 5505 and 5509 with GCF Formula
LCM of 5505 and 5509 is 30327045
Least common multiple can be found by multiplying the highest exponent prime factors of 5505 and 5509. First we will calculate the prime factors of 5505 and 5509.
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 5509
| 7 | 5509 |
| 787 | 787 |
| 1 |
Prime factors of 5509 are 7,787. Prime factorization of 5509 in exponential form is:
5509 = 71×7871
Now multiplying the highest exponent prime factors to calculate the LCM of 5505 and 5509.
LCM(5505,5509) = 31×51×71×3671×7871
LCM(5505,5509) = 30327045
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 5509
List of positive integer factors of 5509 that divides 5509 without a remainder.
1, 7, 787, 5509
Least Common Multiple of 5505 and 5509 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 5509, than apply into the LCM equation.
GCF(5505,5509) = 1
LCM(5505,5509) = ( 5505 × 5509) / 1
LCM(5505,5509) = 30327045 / 1
LCM(5505,5509) = 30327045
Properties of LCM 5505 and 5509
(i) The LCM of 5509 and 5505 is associative
LCM of 5505 and 5509 = LCM of 5509 and 5505
Related Least Common Multiples of 5505
Related Least Common Multiples of 5509
Frequently Asked Questions on LCM of 5505 and 5509
1. What is the LCM of 5505 and 5509?
Answer: LCM of 5505 and 5509 is 30327045.
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 5509?
Answer: Factors of 5509 are 1, 7, 787, 5509. There are 4 integers that are factors of 5509. The greatest factor of 5509 is 5509.
4. How to Find the LCM of 5505 and 5509?
Answer:
Least Common Multiple of 5505 and 5509 = 30327045
Step 1: Find the prime factorization of 5505
5505 = 3 x 5 x 367
Step 2: Find the prime factorization of 5509
5509 = 7 x 787
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30327045 = 3 x 5 x 7 x 367 x 787
Step 4: Therefore, the least common multiple of 5505 and 5509 is 30327045.