Least Common Multiple of 559 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 559 and 563 the smallest integer that is 314717 that is divisible by both numbers.
Least Common Multiple (LCM) of 559 and 563 is 314717.
LCM(559,563) = 314717
LCM of 559 and 563
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 559 and 563 by Prime method
- Least Common Multiple of 559 and 563 with GCF Formula
LCM of 559 and 563 is 314717
Least common multiple can be found by multiplying the highest exponent prime factors of 559 and 563. First we will calculate the prime factors of 559 and 563.
Prime Factorization of 559
| 13 | 559 |
| 43 | 43 |
| 1 |
Prime factors of 559 are 13,43. Prime factorization of 559 in exponential form is:
559 = 131×431
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 559 and 563.
LCM(559,563) = 131×431×5631
LCM(559,563) = 314717
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1, 563
Least Common Multiple of 559 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 559 and 563, than apply into the LCM equation.
GCF(559,563) = 1
LCM(559,563) = ( 559 × 563) / 1
LCM(559,563) = 314717 / 1
LCM(559,563) = 314717
Properties of LCM 559 and 563
(i) The LCM of 563 and 559 is associative
LCM of 559 and 563 = LCM of 563 and 559
Related Least Common Multiples of 559
Related Least Common Multiples of 563
Frequently Asked Questions on LCM of 559 and 563
1. What is the LCM of 559 and 563?
Answer: LCM of 559 and 563 is 314717.
2. What are the Factors of 559?
Answer: Factors of 559 are 1, 13, 43, 559. There are 4 integers that are factors of 559. The greatest factor of 559 is 559.
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 559 and 563?
Answer:
Least Common Multiple of 559 and 563 = 314717
Step 1: Find the prime factorization of 559
559 = 13 x 43
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 = 314717 = 13 x 43 x 563
Step 4: Therefore, the least common multiple of 559 and 563 is 314717.
