Least Common Multiple of 561 and 569
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 561 and 569 the smallest integer that is 319209 that is divisible by both numbers.
Least Common Multiple (LCM) of 561 and 569 is 319209.
LCM(561,569) = 319209
LCM of 561 and 569
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 561 and 569 by Prime method
- Least Common Multiple of 561 and 569 with GCF Formula
LCM of 561 and 569 is 319209
Least common multiple can be found by multiplying the highest exponent prime factors of 561 and 569. First we will calculate the prime factors of 561 and 569.
Prime Factorization of 561
| 3 | 561 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 561 are 3, 11,17. Prime factorization of 561 in exponential form is:
561 = 31×111×171
Prime Factorization of 569
| 569 | 569 |
| 1 |
Prime factors of 569 are 569. Prime factorization of 569 in exponential form is:
569 = 5691
Now multiplying the highest exponent prime factors to calculate the LCM of 561 and 569.
LCM(561,569) = 31×111×171×5691
LCM(561,569) = 319209
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1, 569
Least Common Multiple of 561 and 569 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 561 and 569, than apply into the LCM equation.
GCF(561,569) = 1
LCM(561,569) = ( 561 × 569) / 1
LCM(561,569) = 319209 / 1
LCM(561,569) = 319209
Properties of LCM 561 and 569
(i) The LCM of 569 and 561 is associative
LCM of 561 and 569 = LCM of 569 and 561
Related Least Common Multiples of 561
Related Least Common Multiples of 569
Frequently Asked Questions on LCM of 561 and 569
1. What is the LCM of 561 and 569?
Answer: LCM of 561 and 569 is 319209.
2. What are the Factors of 561?
Answer: Factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561. There are 8 integers that are factors of 561. The greatest factor of 561 is 561.
3. What are the Factors of 569?
Answer: Factors of 569 are 1, 569. There are 2 integers that are factors of 569. The greatest factor of 569 is 569.
4. How to Find the LCM of 561 and 569?
Answer:
Least Common Multiple of 561 and 569 = 319209
Step 1: Find the prime factorization of 561
561 = 3 x 11 x 17
Step 2: Find the prime factorization of 569
569 = 569
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 319209 = 3 x 11 x 17 x 569
Step 4: Therefore, the least common multiple of 561 and 569 is 319209.
