Least Common Multiple of 563 and 567
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 563 and 567 the smallest integer that is 319221 that is divisible by both numbers.
Least Common Multiple (LCM) of 563 and 567 is 319221.
LCM(563,567) = 319221
LCM of 563 and 567
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 563 and 567 by Prime method
- Least Common Multiple of 563 and 567 with GCF Formula
LCM of 563 and 567 is 319221
Least common multiple can be found by multiplying the highest exponent prime factors of 563 and 567. First we will calculate the prime factors of 563 and 567.
Prime Factorization of 563
| 563 | 563 |
| 1 |
Prime factors of 563 are 563. Prime factorization of 563 in exponential form is:
563 = 5631
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
Now multiplying the highest exponent prime factors to calculate the LCM of 563 and 567.
LCM(563,567) = 34×71×5631
LCM(563,567) = 319221
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1, 563
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
Least Common Multiple of 563 and 567 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 563 and 567, than apply into the LCM equation.
GCF(563,567) = 1
LCM(563,567) = ( 563 × 567) / 1
LCM(563,567) = 319221 / 1
LCM(563,567) = 319221
Properties of LCM 563 and 567
(i) The LCM of 567 and 563 is associative
LCM of 563 and 567 = LCM of 567 and 563
Related Least Common Multiples of 563
Related Least Common Multiples of 567
Frequently Asked Questions on LCM of 563 and 567
1. What is the LCM of 563 and 567?
Answer: LCM of 563 and 567 is 319221.
2. 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.
3. 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.
4. How to Find the LCM of 563 and 567?
Answer:
Least Common Multiple of 563 and 567 = 319221
Step 1: Find the prime factorization of 563
563 = 563
Step 2: Find the prime factorization of 567
567 = 3 x 3 x 3 x 3 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 319221 = 3 x 3 x 3 x 3 x 7 x 563
Step 4: Therefore, the least common multiple of 563 and 567 is 319221.
