Least Common Multiple of 559 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 559 and 567 the smallest integer that is 316953 that is divisible by both numbers.
Least Common Multiple (LCM) of 559 and 567 is 316953.
LCM(559,567) = 316953
LCM of 559 and 567
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 559 and 567 by Prime method
- Least Common Multiple of 559 and 567 with GCF Formula
LCM of 559 and 567 is 316953
Least common multiple can be found by multiplying the highest exponent prime factors of 559 and 567. First we will calculate the prime factors of 559 and 567.
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 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 559 and 567.
LCM(559,567) = 34×71×131×431
LCM(559,567) = 316953
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1, 13, 43, 559
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 559 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 559 and 567, than apply into the LCM equation.
GCF(559,567) = 1
LCM(559,567) = ( 559 × 567) / 1
LCM(559,567) = 316953 / 1
LCM(559,567) = 316953
Properties of LCM 559 and 567
(i) The LCM of 567 and 559 is associative
LCM of 559 and 567 = LCM of 567 and 559
Related Least Common Multiples of 559
Related Least Common Multiples of 567
Frequently Asked Questions on LCM of 559 and 567
1. What is the LCM of 559 and 567?
Answer: LCM of 559 and 567 is 316953.
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 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 559 and 567?
Answer:
Least Common Multiple of 559 and 567 = 316953
Step 1: Find the prime factorization of 559
559 = 13 x 43
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 = 316953 = 3 x 3 x 3 x 3 x 7 x 13 x 43
Step 4: Therefore, the least common multiple of 559 and 567 is 316953.