Least Common Multiple of 5665 and 5671
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5665 and 5671 the smallest integer that is 32126215 that is divisible by both numbers.
Least Common Multiple (LCM) of 5665 and 5671 is 32126215.
LCM(5665,5671) = 32126215
LCM of 5665 and 5671
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5665 and 5671 by Prime method
- Least Common Multiple of 5665 and 5671 with GCF Formula
LCM of 5665 and 5671 is 32126215
Least common multiple can be found by multiplying the highest exponent prime factors of 5665 and 5671. First we will calculate the prime factors of 5665 and 5671.
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
Prime Factorization of 5671
| 53 | 5671 |
| 107 | 107 |
| 1 |
Prime factors of 5671 are 53,107. Prime factorization of 5671 in exponential form is:
5671 = 531×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 5665 and 5671.
LCM(5665,5671) = 51×111×531×1031×1071
LCM(5665,5671) = 32126215
Factors of 5665
List of positive integer factors of 5665 that divides 5665 without a remainder.
1, 5, 11, 55, 103, 515, 1133, 5665
Factors of 5671
List of positive integer factors of 5671 that divides 5671 without a remainder.
1, 53, 107, 5671
Least Common Multiple of 5665 and 5671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5665 and 5671, than apply into the LCM equation.
GCF(5665,5671) = 1
LCM(5665,5671) = ( 5665 × 5671) / 1
LCM(5665,5671) = 32126215 / 1
LCM(5665,5671) = 32126215
Properties of LCM 5665 and 5671
(i) The LCM of 5671 and 5665 is associative
LCM of 5665 and 5671 = LCM of 5671 and 5665
Related Least Common Multiples of 5665
Related Least Common Multiples of 5671
Frequently Asked Questions on LCM of 5665 and 5671
1. What is the LCM of 5665 and 5671?
Answer: LCM of 5665 and 5671 is 32126215.
2. 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.
3. What are the Factors of 5671?
Answer: Factors of 5671 are 1, 53, 107, 5671. There are 4 integers that are factors of 5671. The greatest factor of 5671 is 5671.
4. How to Find the LCM of 5665 and 5671?
Answer:
Least Common Multiple of 5665 and 5671 = 32126215
Step 1: Find the prime factorization of 5665
5665 = 5 x 11 x 103
Step 2: Find the prime factorization of 5671
5671 = 53 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32126215 = 5 x 11 x 53 x 103 x 107
Step 4: Therefore, the least common multiple of 5665 and 5671 is 32126215.