Least Common Multiple of 5658 and 5665
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 5665 the smallest integer that is 32052570 that is divisible by both numbers.
Least Common Multiple (LCM) of 5658 and 5665 is 32052570.
LCM(5658,5665) = 32052570
LCM of 5658 and 5665
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5658 and 5665 by Prime method
- Least Common Multiple of 5658 and 5665 with GCF Formula
LCM of 5658 and 5665 is 32052570
Least common multiple can be found by multiplying the highest exponent prime factors of 5658 and 5665. First we will calculate the prime factors of 5658 and 5665.
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 5665
| 5 | 5665 |
| 11 | 1133 |
| 103 | 103 |
| 1 |
Prime factors of 5665 are 5, 11,103. Prime factorization of 5665 in exponential form is:
5665 = 51×111×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 5658 and 5665.
LCM(5658,5665) = 21×31×51×111×231×411×1031
LCM(5658,5665) = 32052570
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 5665
List of positive integer factors of 5665 that divides 5665 without a remainder.
1, 5, 11, 55, 103, 515, 1133, 5665
Least Common Multiple of 5658 and 5665 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 5665, than apply into the LCM equation.
GCF(5658,5665) = 1
LCM(5658,5665) = ( 5658 × 5665) / 1
LCM(5658,5665) = 32052570 / 1
LCM(5658,5665) = 32052570
Properties of LCM 5658 and 5665
(i) The LCM of 5665 and 5658 is associative
LCM of 5658 and 5665 = LCM of 5665 and 5658
Related Least Common Multiples of 5658
Related Least Common Multiples of 5665
Frequently Asked Questions on LCM of 5658 and 5665
1. What is the LCM of 5658 and 5665?
Answer: LCM of 5658 and 5665 is 32052570.
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 5665?
Answer: Factors of 5665 are 1, 5, 11, 55, 103, 515, 1133, 5665. There are 8 integers that are factors of 5665. The greatest factor of 5665 is 5665.
4. How to Find the LCM of 5658 and 5665?
Answer:
Least Common Multiple of 5658 and 5665 = 32052570
Step 1: Find the prime factorization of 5658
5658 = 2 x 3 x 23 x 41
Step 2: Find the prime factorization of 5665
5665 = 5 x 11 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32052570 = 2 x 3 x 5 x 11 x 23 x 41 x 103
Step 4: Therefore, the least common multiple of 5658 and 5665 is 32052570.