Least Common Multiple of 561 and 563
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 563 the smallest integer that is 315843 that is divisible by both numbers.
Least Common Multiple (LCM) of 561 and 563 is 315843.
LCM(561,563) = 315843
LCM of 561 and 563
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 561 and 563 by Prime method
- Least Common Multiple of 561 and 563 with GCF Formula
LCM of 561 and 563 is 315843
Least common multiple can be found by multiplying the highest exponent prime factors of 561 and 563. First we will calculate the prime factors of 561 and 563.
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 563
| 563 | 563 |
| 1 |
Prime factors of 563 are 563. Prime factorization of 563 in exponential form is:
563 = 5631
Now multiplying the highest exponent prime factors to calculate the LCM of 561 and 563.
LCM(561,563) = 31×111×171×5631
LCM(561,563) = 315843
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 563
List of positive integer factors of 563 that divides 563 without a remainder.
1, 563
Least Common Multiple of 561 and 563 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 563, than apply into the LCM equation.
GCF(561,563) = 1
LCM(561,563) = ( 561 × 563) / 1
LCM(561,563) = 315843 / 1
LCM(561,563) = 315843
Properties of LCM 561 and 563
(i) The LCM of 563 and 561 is associative
LCM of 561 and 563 = LCM of 563 and 561
Related Least Common Multiples of 561
Related Least Common Multiples of 563
Frequently Asked Questions on LCM of 561 and 563
1. What is the LCM of 561 and 563?
Answer: LCM of 561 and 563 is 315843.
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 563?
Answer: Factors of 563 are 1, 563. There are 2 integers that are factors of 563. The greatest factor of 563 is 563.
4. How to Find the LCM of 561 and 563?
Answer:
Least Common Multiple of 561 and 563 = 315843
Step 1: Find the prime factorization of 561
561 = 3 x 11 x 17
Step 2: Find the prime factorization of 563
563 = 563
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 315843 = 3 x 11 x 17 x 563
Step 4: Therefore, the least common multiple of 561 and 563 is 315843.