Least Common Multiple of 6565 and 6571
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6565 and 6571 the smallest integer that is 43138615 that is divisible by both numbers.
Least Common Multiple (LCM) of 6565 and 6571 is 43138615.
LCM(6565,6571) = 43138615
LCM of 6565 and 6571
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6565 and 6571 by Prime method
- Least Common Multiple of 6565 and 6571 with GCF Formula
LCM of 6565 and 6571 is 43138615
Least common multiple can be found by multiplying the highest exponent prime factors of 6565 and 6571. First we will calculate the prime factors of 6565 and 6571.
Prime Factorization of 6565
| 5 | 6565 |
| 13 | 1313 |
| 101 | 101 |
| 1 |
Prime factors of 6565 are 5, 13,101. Prime factorization of 6565 in exponential form is:
6565 = 51×131×1011
Prime Factorization of 6571
| 6571 | 6571 |
| 1 |
Prime factors of 6571 are 6571. Prime factorization of 6571 in exponential form is:
6571 = 65711
Now multiplying the highest exponent prime factors to calculate the LCM of 6565 and 6571.
LCM(6565,6571) = 51×131×1011×65711
LCM(6565,6571) = 43138615
Factors of 6565
List of positive integer factors of 6565 that divides 6565 without a remainder.
1, 5, 13, 65, 101, 505, 1313, 6565
Factors of 6571
List of positive integer factors of 6571 that divides 6571 without a remainder.
1, 6571
Least Common Multiple of 6565 and 6571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6565 and 6571, than apply into the LCM equation.
GCF(6565,6571) = 1
LCM(6565,6571) = ( 6565 × 6571) / 1
LCM(6565,6571) = 43138615 / 1
LCM(6565,6571) = 43138615
Properties of LCM 6565 and 6571
(i) The LCM of 6571 and 6565 is associative
LCM of 6565 and 6571 = LCM of 6571 and 6565
Related Least Common Multiples of 6565
Related Least Common Multiples of 6571
Frequently Asked Questions on LCM of 6565 and 6571
1. What is the LCM of 6565 and 6571?
Answer: LCM of 6565 and 6571 is 43138615.
2. What are the Factors of 6565?
Answer: Factors of 6565 are 1, 5, 13, 65, 101, 505, 1313, 6565. There are 8 integers that are factors of 6565. The greatest factor of 6565 is 6565.
3. What are the Factors of 6571?
Answer: Factors of 6571 are 1, 6571. There are 2 integers that are factors of 6571. The greatest factor of 6571 is 6571.
4. How to Find the LCM of 6565 and 6571?
Answer:
Least Common Multiple of 6565 and 6571 = 43138615
Step 1: Find the prime factorization of 6565
6565 = 5 x 13 x 101
Step 2: Find the prime factorization of 6571
6571 = 6571
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43138615 = 5 x 13 x 101 x 6571
Step 4: Therefore, the least common multiple of 6565 and 6571 is 43138615.