Least Common Multiple of 5577 and 5579
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 5579 the smallest integer that is 31114083 that is divisible by both numbers.
Least Common Multiple (LCM) of 5577 and 5579 is 31114083.
LCM(5577,5579) = 31114083
LCM of 5577 and 5579
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5577 and 5579 by Prime method
- Least Common Multiple of 5577 and 5579 with GCF Formula
LCM of 5577 and 5579 is 31114083
Least common multiple can be found by multiplying the highest exponent prime factors of 5577 and 5579. First we will calculate the prime factors of 5577 and 5579.
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 5579
| 7 | 5579 |
| 797 | 797 |
| 1 |
Prime factors of 5579 are 7,797. Prime factorization of 5579 in exponential form is:
5579 = 71×7971
Now multiplying the highest exponent prime factors to calculate the LCM of 5577 and 5579.
LCM(5577,5579) = 31×71×111×132×7971
LCM(5577,5579) = 31114083
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 5579
List of positive integer factors of 5579 that divides 5579 without a remainder.
1, 7, 797, 5579
Least Common Multiple of 5577 and 5579 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 5579, than apply into the LCM equation.
GCF(5577,5579) = 1
LCM(5577,5579) = ( 5577 × 5579) / 1
LCM(5577,5579) = 31114083 / 1
LCM(5577,5579) = 31114083
Properties of LCM 5577 and 5579
(i) The LCM of 5579 and 5577 is associative
LCM of 5577 and 5579 = LCM of 5579 and 5577
Related Least Common Multiples of 5577
Related Least Common Multiples of 5579
Frequently Asked Questions on LCM of 5577 and 5579
1. What is the LCM of 5577 and 5579?
Answer: LCM of 5577 and 5579 is 31114083.
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 5579?
Answer: Factors of 5579 are 1, 7, 797, 5579. There are 4 integers that are factors of 5579. The greatest factor of 5579 is 5579.
4. How to Find the LCM of 5577 and 5579?
Answer:
Least Common Multiple of 5577 and 5579 = 31114083
Step 1: Find the prime factorization of 5577
5577 = 3 x 11 x 13 x 13
Step 2: Find the prime factorization of 5579
5579 = 7 x 797
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31114083 = 3 x 7 x 11 x 13 x 13 x 797
Step 4: Therefore, the least common multiple of 5577 and 5579 is 31114083.
