Least Common Multiple of 6565 and 6573
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 6573 the smallest integer that is 43151745 that is divisible by both numbers.
Least Common Multiple (LCM) of 6565 and 6573 is 43151745.
LCM(6565,6573) = 43151745
LCM of 6565 and 6573
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6565 and 6573 by Prime method
- Least Common Multiple of 6565 and 6573 with GCF Formula
LCM of 6565 and 6573 is 43151745
Least common multiple can be found by multiplying the highest exponent prime factors of 6565 and 6573. First we will calculate the prime factors of 6565 and 6573.
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 6573
| 3 | 6573 |
| 7 | 2191 |
| 313 | 313 |
| 1 |
Prime factors of 6573 are 3, 7,313. Prime factorization of 6573 in exponential form is:
6573 = 31×71×3131
Now multiplying the highest exponent prime factors to calculate the LCM of 6565 and 6573.
LCM(6565,6573) = 31×51×71×131×1011×3131
LCM(6565,6573) = 43151745
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 6573
List of positive integer factors of 6573 that divides 6573 without a remainder.
1, 3, 7, 21, 313, 939, 2191, 6573
Least Common Multiple of 6565 and 6573 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 6573, than apply into the LCM equation.
GCF(6565,6573) = 1
LCM(6565,6573) = ( 6565 × 6573) / 1
LCM(6565,6573) = 43151745 / 1
LCM(6565,6573) = 43151745
Properties of LCM 6565 and 6573
(i) The LCM of 6573 and 6565 is associative
LCM of 6565 and 6573 = LCM of 6573 and 6565
Related Least Common Multiples of 6565
Related Least Common Multiples of 6573
Frequently Asked Questions on LCM of 6565 and 6573
1. What is the LCM of 6565 and 6573?
Answer: LCM of 6565 and 6573 is 43151745.
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 6573?
Answer: Factors of 6573 are 1, 3, 7, 21, 313, 939, 2191, 6573. There are 8 integers that are factors of 6573. The greatest factor of 6573 is 6573.
4. How to Find the LCM of 6565 and 6573?
Answer:
Least Common Multiple of 6565 and 6573 = 43151745
Step 1: Find the prime factorization of 6565
6565 = 5 x 13 x 101
Step 2: Find the prime factorization of 6573
6573 = 3 x 7 x 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43151745 = 3 x 5 x 7 x 13 x 101 x 313
Step 4: Therefore, the least common multiple of 6565 and 6573 is 43151745.