Least Common Multiple of 5577 and 5582
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5577 and 5582 the smallest integer that is 31130814 that is divisible by both numbers.
Least Common Multiple (LCM) of 5577 and 5582 is 31130814.
LCM(5577,5582) = 31130814
LCM of 5577 and 5582
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5577 and 5582 by Prime method
- Least Common Multiple of 5577 and 5582 with GCF Formula
LCM of 5577 and 5582 is 31130814
Least common multiple can be found by multiplying the highest exponent prime factors of 5577 and 5582. First we will calculate the prime factors of 5577 and 5582.
Prime Factorization of 5577
| 3 | 5577 |
| 11 | 1859 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 5577 are 3, 11,13. Prime factorization of 5577 in exponential form is:
5577 = 31×111×132
Prime Factorization of 5582
| 2 | 5582 |
| 2791 | 2791 |
| 1 |
Prime factors of 5582 are 2,2791. Prime factorization of 5582 in exponential form is:
5582 = 21×27911
Now multiplying the highest exponent prime factors to calculate the LCM of 5577 and 5582.
LCM(5577,5582) = 21×31×111×132×27911
LCM(5577,5582) = 31130814
Factors of 5577
List of positive integer factors of 5577 that divides 5577 without a remainder.
1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577
Factors of 5582
List of positive integer factors of 5582 that divides 5582 without a remainder.
1, 2, 2791, 5582
Least Common Multiple of 5577 and 5582 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5577 and 5582, than apply into the LCM equation.
GCF(5577,5582) = 1
LCM(5577,5582) = ( 5577 × 5582) / 1
LCM(5577,5582) = 31130814 / 1
LCM(5577,5582) = 31130814
Properties of LCM 5577 and 5582
(i) The LCM of 5582 and 5577 is associative
LCM of 5577 and 5582 = LCM of 5582 and 5577
Related Least Common Multiples of 5577
Related Least Common Multiples of 5582
Frequently Asked Questions on LCM of 5577 and 5582
1. What is the LCM of 5577 and 5582?
Answer: LCM of 5577 and 5582 is 31130814.
2. What are the Factors of 5577?
Answer: Factors of 5577 are 1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577. There are 12 integers that are factors of 5577. The greatest factor of 5577 is 5577.
3. What are the Factors of 5582?
Answer: Factors of 5582 are 1, 2, 2791, 5582. There are 4 integers that are factors of 5582. The greatest factor of 5582 is 5582.
4. How to Find the LCM of 5577 and 5582?
Answer:
Least Common Multiple of 5577 and 5582 = 31130814
Step 1: Find the prime factorization of 5577
5577 = 3 x 11 x 13 x 13
Step 2: Find the prime factorization of 5582
5582 = 2 x 2791
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31130814 = 2 x 3 x 11 x 13 x 13 x 2791
Step 4: Therefore, the least common multiple of 5577 and 5582 is 31130814.