Least Common Multiple of 559 and 565
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 565 the smallest integer that is 315835 that is divisible by both numbers.
Least Common Multiple (LCM) of 559 and 565 is 315835.
LCM(559,565) = 315835
LCM of 559 and 565
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 559 and 565 by Prime method
- Least Common Multiple of 559 and 565 with GCF Formula
LCM of 559 and 565 is 315835
Least common multiple can be found by multiplying the highest exponent prime factors of 559 and 565. First we will calculate the prime factors of 559 and 565.
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 565
| 5 | 565 |
| 113 | 113 |
| 1 |
Prime factors of 565 are 5,113. Prime factorization of 565 in exponential form is:
565 = 51×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 559 and 565.
LCM(559,565) = 51×131×431×1131
LCM(559,565) = 315835
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Least Common Multiple of 559 and 565 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 565, than apply into the LCM equation.
GCF(559,565) = 1
LCM(559,565) = ( 559 × 565) / 1
LCM(559,565) = 315835 / 1
LCM(559,565) = 315835
Properties of LCM 559 and 565
(i) The LCM of 565 and 559 is associative
LCM of 559 and 565 = LCM of 565 and 559
Related Least Common Multiples of 559
Related Least Common Multiples of 565
Frequently Asked Questions on LCM of 559 and 565
1. What is the LCM of 559 and 565?
Answer: LCM of 559 and 565 is 315835.
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 565?
Answer: Factors of 565 are 1, 5, 113, 565. There are 4 integers that are factors of 565. The greatest factor of 565 is 565.
4. How to Find the LCM of 559 and 565?
Answer:
Least Common Multiple of 559 and 565 = 315835
Step 1: Find the prime factorization of 559
559 = 13 x 43
Step 2: Find the prime factorization of 565
565 = 5 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 315835 = 5 x 13 x 43 x 113
Step 4: Therefore, the least common multiple of 559 and 565 is 315835.
