Least Common Multiple of 558 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 558 and 563 the smallest integer that is 314154 that is divisible by both numbers.
Least Common Multiple (LCM) of 558 and 563 is 314154.
LCM(558,563) = 314154
LCM of 558 and 563
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 558 and 563 by Prime method
- Least Common Multiple of 558 and 563 with GCF Formula
LCM of 558 and 563 is 314154
Least common multiple can be found by multiplying the highest exponent prime factors of 558 and 563. First we will calculate the prime factors of 558 and 563.
Prime Factorization of 558
| 2 | 558 |
| 3 | 279 |
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 558 are 2, 3,31. Prime factorization of 558 in exponential form is:
558 = 21×32×311
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 558 and 563.
LCM(558,563) = 21×32×311×5631
LCM(558,563) = 314154
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1, 563
Least Common Multiple of 558 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 558 and 563, than apply into the LCM equation.
GCF(558,563) = 1
LCM(558,563) = ( 558 × 563) / 1
LCM(558,563) = 314154 / 1
LCM(558,563) = 314154
Properties of LCM 558 and 563
(i) The LCM of 563 and 558 is associative
LCM of 558 and 563 = LCM of 563 and 558
Related Least Common Multiples of 558
Related Least Common Multiples of 563
Frequently Asked Questions on LCM of 558 and 563
1. What is the LCM of 558 and 563?
Answer: LCM of 558 and 563 is 314154.
2. What are the Factors of 558?
Answer: Factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558. There are 12 integers that are factors of 558. The greatest factor of 558 is 558.
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 558 and 563?
Answer:
Least Common Multiple of 558 and 563 = 314154
Step 1: Find the prime factorization of 558
558 = 2 x 3 x 3 x 31
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 = 314154 = 2 x 3 x 3 x 31 x 563
Step 4: Therefore, the least common multiple of 558 and 563 is 314154.
