Least Common Multiple of 5582 and 5587
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5582 and 5587 the smallest integer that is 31186634 that is divisible by both numbers.
Least Common Multiple (LCM) of 5582 and 5587 is 31186634.
LCM(5582,5587) = 31186634
LCM of 5582 and 5587
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5582 and 5587 by Prime method
- Least Common Multiple of 5582 and 5587 with GCF Formula
LCM of 5582 and 5587 is 31186634
Least common multiple can be found by multiplying the highest exponent prime factors of 5582 and 5587. First we will calculate the prime factors of 5582 and 5587.
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
Prime Factorization of 5587
| 37 | 5587 |
| 151 | 151 |
| 1 |
Prime factors of 5587 are 37,151. Prime factorization of 5587 in exponential form is:
5587 = 371×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 5582 and 5587.
LCM(5582,5587) = 21×371×1511×27911
LCM(5582,5587) = 31186634
Factors of 5582
List of positive integer factors of 5582 that divides 5582 without a remainder.
1, 2, 2791, 5582
Factors of 5587
List of positive integer factors of 5587 that divides 5587 without a remainder.
1, 37, 151, 5587
Least Common Multiple of 5582 and 5587 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5582 and 5587, than apply into the LCM equation.
GCF(5582,5587) = 1
LCM(5582,5587) = ( 5582 × 5587) / 1
LCM(5582,5587) = 31186634 / 1
LCM(5582,5587) = 31186634
Properties of LCM 5582 and 5587
(i) The LCM of 5587 and 5582 is associative
LCM of 5582 and 5587 = LCM of 5587 and 5582
Related Least Common Multiples of 5582
Related Least Common Multiples of 5587
Frequently Asked Questions on LCM of 5582 and 5587
1. What is the LCM of 5582 and 5587?
Answer: LCM of 5582 and 5587 is 31186634.
2. 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.
3. What are the Factors of 5587?
Answer: Factors of 5587 are 1, 37, 151, 5587. There are 4 integers that are factors of 5587. The greatest factor of 5587 is 5587.
4. How to Find the LCM of 5582 and 5587?
Answer:
Least Common Multiple of 5582 and 5587 = 31186634
Step 1: Find the prime factorization of 5582
5582 = 2 x 2791
Step 2: Find the prime factorization of 5587
5587 = 37 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31186634 = 2 x 37 x 151 x 2791
Step 4: Therefore, the least common multiple of 5582 and 5587 is 31186634.
