Least Common Multiple of 567 and 571
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 567 and 571 the smallest integer that is 323757 that is divisible by both numbers.
Least Common Multiple (LCM) of 567 and 571 is 323757.
LCM(567,571) = 323757
LCM of 567 and 571
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 567 and 571 by Prime method
- Least Common Multiple of 567 and 571 with GCF Formula
LCM of 567 and 571 is 323757
Least common multiple can be found by multiplying the highest exponent prime factors of 567 and 571. First we will calculate the prime factors of 567 and 571.
Prime Factorization of 567
| 3 | 567 |
| 3 | 189 |
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 567 are 3,7. Prime factorization of 567 in exponential form is:
567 = 34×71
Prime Factorization of 571
| 571 | 571 |
| 1 |
Prime factors of 571 are 571. Prime factorization of 571 in exponential form is:
571 = 5711
Now multiplying the highest exponent prime factors to calculate the LCM of 567 and 571.
LCM(567,571) = 34×71×5711
LCM(567,571) = 323757
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1, 571
Least Common Multiple of 567 and 571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 567 and 571, than apply into the LCM equation.
GCF(567,571) = 1
LCM(567,571) = ( 567 × 571) / 1
LCM(567,571) = 323757 / 1
LCM(567,571) = 323757
Properties of LCM 567 and 571
(i) The LCM of 571 and 567 is associative
LCM of 567 and 571 = LCM of 571 and 567
Related Least Common Multiples of 567
Related Least Common Multiples of 571
Frequently Asked Questions on LCM of 567 and 571
1. What is the LCM of 567 and 571?
Answer: LCM of 567 and 571 is 323757.
2. What are the Factors of 567?
Answer: Factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567. There are 10 integers that are factors of 567. The greatest factor of 567 is 567.
3. What are the Factors of 571?
Answer: Factors of 571 are 1, 571. There are 2 integers that are factors of 571. The greatest factor of 571 is 571.
4. How to Find the LCM of 567 and 571?
Answer:
Least Common Multiple of 567 and 571 = 323757
Step 1: Find the prime factorization of 567
567 = 3 x 3 x 3 x 3 x 7
Step 2: Find the prime factorization of 571
571 = 571
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 323757 = 3 x 3 x 3 x 3 x 7 x 571
Step 4: Therefore, the least common multiple of 567 and 571 is 323757.