Least Common Multiple of 5658 and 5663
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5658 and 5663 the smallest integer that is 32041254 that is divisible by both numbers.
Least Common Multiple (LCM) of 5658 and 5663 is 32041254.
LCM(5658,5663) = 32041254
LCM of 5658 and 5663
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5658 and 5663 by Prime method
- Least Common Multiple of 5658 and 5663 with GCF Formula
LCM of 5658 and 5663 is 32041254
Least common multiple can be found by multiplying the highest exponent prime factors of 5658 and 5663. First we will calculate the prime factors of 5658 and 5663.
Prime Factorization of 5658
| 2 | 5658 |
| 3 | 2829 |
| 23 | 943 |
| 41 | 41 |
| 1 |
Prime factors of 5658 are 2, 3, 23,41. Prime factorization of 5658 in exponential form is:
5658 = 21×31×231×411
Prime Factorization of 5663
| 7 | 5663 |
| 809 | 809 |
| 1 |
Prime factors of 5663 are 7,809. Prime factorization of 5663 in exponential form is:
5663 = 71×8091
Now multiplying the highest exponent prime factors to calculate the LCM of 5658 and 5663.
LCM(5658,5663) = 21×31×71×231×411×8091
LCM(5658,5663) = 32041254
Factors of 5658
List of positive integer factors of 5658 that divides 5658 without a remainder.
1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658
Factors of 5663
List of positive integer factors of 5663 that divides 5663 without a remainder.
1, 7, 809, 5663
Least Common Multiple of 5658 and 5663 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5658 and 5663, than apply into the LCM equation.
GCF(5658,5663) = 1
LCM(5658,5663) = ( 5658 × 5663) / 1
LCM(5658,5663) = 32041254 / 1
LCM(5658,5663) = 32041254
Properties of LCM 5658 and 5663
(i) The LCM of 5663 and 5658 is associative
LCM of 5658 and 5663 = LCM of 5663 and 5658
Related Least Common Multiples of 5658
Related Least Common Multiples of 5663
Frequently Asked Questions on LCM of 5658 and 5663
1. What is the LCM of 5658 and 5663?
Answer: LCM of 5658 and 5663 is 32041254.
2. What are the Factors of 5658?
Answer: Factors of 5658 are 1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658. There are 16 integers that are factors of 5658. The greatest factor of 5658 is 5658.
3. What are the Factors of 5663?
Answer: Factors of 5663 are 1, 7, 809, 5663. There are 4 integers that are factors of 5663. The greatest factor of 5663 is 5663.
4. How to Find the LCM of 5658 and 5663?
Answer:
Least Common Multiple of 5658 and 5663 = 32041254
Step 1: Find the prime factorization of 5658
5658 = 2 x 3 x 23 x 41
Step 2: Find the prime factorization of 5663
5663 = 7 x 809
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32041254 = 2 x 3 x 7 x 23 x 41 x 809
Step 4: Therefore, the least common multiple of 5658 and 5663 is 32041254.