Least Common Multiple of 5509 and 5512
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5509 and 5512 the smallest integer that is 30365608 that is divisible by both numbers.
Least Common Multiple (LCM) of 5509 and 5512 is 30365608.
LCM(5509,5512) = 30365608
LCM of 5509 and 5512
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5509 and 5512 by Prime method
- Least Common Multiple of 5509 and 5512 with GCF Formula
LCM of 5509 and 5512 is 30365608
Least common multiple can be found by multiplying the highest exponent prime factors of 5509 and 5512. First we will calculate the prime factors of 5509 and 5512.
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
Prime Factorization of 5512
| 2 | 5512 |
| 2 | 2756 |
| 2 | 1378 |
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 5512 are 2, 13,53. Prime factorization of 5512 in exponential form is:
5512 = 23×131×531
Now multiplying the highest exponent prime factors to calculate the LCM of 5509 and 5512.
LCM(5509,5512) = 23×71×131×531×7871
LCM(5509,5512) = 30365608
Factors of 5509
List of positive integer factors of 5509 that divides 5509 without a remainder.
1, 7, 787, 5509
Factors of 5512
List of positive integer factors of 5512 that divides 5512 without a remainder.
1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512
Least Common Multiple of 5509 and 5512 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5509 and 5512, than apply into the LCM equation.
GCF(5509,5512) = 1
LCM(5509,5512) = ( 5509 × 5512) / 1
LCM(5509,5512) = 30365608 / 1
LCM(5509,5512) = 30365608
Properties of LCM 5509 and 5512
(i) The LCM of 5512 and 5509 is associative
LCM of 5509 and 5512 = LCM of 5512 and 5509
Related Least Common Multiples of 5509
Related Least Common Multiples of 5512
Frequently Asked Questions on LCM of 5509 and 5512
1. What is the LCM of 5509 and 5512?
Answer: LCM of 5509 and 5512 is 30365608.
2. 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.
3. What are the Factors of 5512?
Answer: Factors of 5512 are 1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512. There are 16 integers that are factors of 5512. The greatest factor of 5512 is 5512.
4. How to Find the LCM of 5509 and 5512?
Answer:
Least Common Multiple of 5509 and 5512 = 30365608
Step 1: Find the prime factorization of 5509
5509 = 7 x 787
Step 2: Find the prime factorization of 5512
5512 = 2 x 2 x 2 x 13 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30365608 = 2 x 2 x 2 x 7 x 13 x 53 x 787
Step 4: Therefore, the least common multiple of 5509 and 5512 is 30365608.