Least Common Multiple of 5595 and 5599
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5595 and 5599 the smallest integer that is 31326405 that is divisible by both numbers.
Least Common Multiple (LCM) of 5595 and 5599 is 31326405.
LCM(5595,5599) = 31326405
LCM of 5595 and 5599
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5595 and 5599 by Prime method
- Least Common Multiple of 5595 and 5599 with GCF Formula
LCM of 5595 and 5599 is 31326405
Least common multiple can be found by multiplying the highest exponent prime factors of 5595 and 5599. First we will calculate the prime factors of 5595 and 5599.
Prime Factorization of 5595
| 3 | 5595 |
| 5 | 1865 |
| 373 | 373 |
| 1 |
Prime factors of 5595 are 3, 5,373. Prime factorization of 5595 in exponential form is:
5595 = 31×51×3731
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5595 and 5599.
LCM(5595,5599) = 31×51×111×3731×5091
LCM(5595,5599) = 31326405
Factors of 5595
List of positive integer factors of 5595 that divides 5595 without a remainder.
1, 3, 5, 15, 373, 1119, 1865, 5595
Factors of 5599
List of positive integer factors of 5599 that divides 5599 without a remainder.
1, 11, 509, 5599
Least Common Multiple of 5595 and 5599 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5595 and 5599, than apply into the LCM equation.
GCF(5595,5599) = 1
LCM(5595,5599) = ( 5595 × 5599) / 1
LCM(5595,5599) = 31326405 / 1
LCM(5595,5599) = 31326405
Properties of LCM 5595 and 5599
(i) The LCM of 5599 and 5595 is associative
LCM of 5595 and 5599 = LCM of 5599 and 5595
Related Least Common Multiples of 5595
Related Least Common Multiples of 5599
Frequently Asked Questions on LCM of 5595 and 5599
1. What is the LCM of 5595 and 5599?
Answer: LCM of 5595 and 5599 is 31326405.
2. What are the Factors of 5595?
Answer: Factors of 5595 are 1, 3, 5, 15, 373, 1119, 1865, 5595. There are 8 integers that are factors of 5595. The greatest factor of 5595 is 5595.
3. 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.
4. How to Find the LCM of 5595 and 5599?
Answer:
Least Common Multiple of 5595 and 5599 = 31326405
Step 1: Find the prime factorization of 5595
5595 = 3 x 5 x 373
Step 2: Find the prime factorization of 5599
5599 = 11 x 509
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31326405 = 3 x 5 x 11 x 373 x 509
Step 4: Therefore, the least common multiple of 5595 and 5599 is 31326405.