Least Common Multiple of 5599 and 5605
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5599 and 5605 the smallest integer that is 31382395 that is divisible by both numbers.
Least Common Multiple (LCM) of 5599 and 5605 is 31382395.
LCM(5599,5605) = 31382395
LCM of 5599 and 5605
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5599 and 5605 by Prime method
- Least Common Multiple of 5599 and 5605 with GCF Formula
LCM of 5599 and 5605 is 31382395
Least common multiple can be found by multiplying the highest exponent prime factors of 5599 and 5605. First we will calculate the prime factors of 5599 and 5605.
Prime Factorization of 5599
| 11 | 5599 |
| 509 | 509 |
| 1 |
Prime factors of 5599 are 11,509. Prime factorization of 5599 in exponential form is:
5599 = 111×5091
Prime Factorization of 5605
| 5 | 5605 |
| 19 | 1121 |
| 59 | 59 |
| 1 |
Prime factors of 5605 are 5, 19,59. Prime factorization of 5605 in exponential form is:
5605 = 51×191×591
Now multiplying the highest exponent prime factors to calculate the LCM of 5599 and 5605.
LCM(5599,5605) = 51×111×191×591×5091
LCM(5599,5605) = 31382395
Factors of 5599
List of positive integer factors of 5599 that divides 5599 without a remainder.
1, 11, 509, 5599
Factors of 5605
List of positive integer factors of 5605 that divides 5605 without a remainder.
1, 5, 19, 59, 95, 295, 1121, 5605
Least Common Multiple of 5599 and 5605 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5599 and 5605, than apply into the LCM equation.
GCF(5599,5605) = 1
LCM(5599,5605) = ( 5599 × 5605) / 1
LCM(5599,5605) = 31382395 / 1
LCM(5599,5605) = 31382395
Properties of LCM 5599 and 5605
(i) The LCM of 5605 and 5599 is associative
LCM of 5599 and 5605 = LCM of 5605 and 5599
Related Least Common Multiples of 5599
Related Least Common Multiples of 5605
Frequently Asked Questions on LCM of 5599 and 5605
1. What is the LCM of 5599 and 5605?
Answer: LCM of 5599 and 5605 is 31382395.
2. What are the Factors of 5599?
Answer: Factors of 5599 are 1, 11, 509, 5599. There are 4 integers that are factors of 5599. The greatest factor of 5599 is 5599.
3. What are the Factors of 5605?
Answer: Factors of 5605 are 1, 5, 19, 59, 95, 295, 1121, 5605. There are 8 integers that are factors of 5605. The greatest factor of 5605 is 5605.
4. How to Find the LCM of 5599 and 5605?
Answer:
Least Common Multiple of 5599 and 5605 = 31382395
Step 1: Find the prime factorization of 5599
5599 = 11 x 509
Step 2: Find the prime factorization of 5605
5605 = 5 x 19 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31382395 = 5 x 11 x 19 x 59 x 509
Step 4: Therefore, the least common multiple of 5599 and 5605 is 31382395.