Least Common Multiple of 557 and 561
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 557 and 561 the smallest integer that is 312477 that is divisible by both numbers.
Least Common Multiple (LCM) of 557 and 561 is 312477.
LCM(557,561) = 312477
LCM of 557 and 561
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 557 and 561 by Prime method
- Least Common Multiple of 557 and 561 with GCF Formula
LCM of 557 and 561 is 312477
Least common multiple can be found by multiplying the highest exponent prime factors of 557 and 561. First we will calculate the prime factors of 557 and 561.
Prime Factorization of 557
| 557 | 557 |
| 1 |
Prime factors of 557 are 557. Prime factorization of 557 in exponential form is:
557 = 5571
Prime Factorization of 561
| 3 | 561 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 561 are 3, 11,17. Prime factorization of 561 in exponential form is:
561 = 31×111×171
Now multiplying the highest exponent prime factors to calculate the LCM of 557 and 561.
LCM(557,561) = 31×111×171×5571
LCM(557,561) = 312477
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1, 557
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Least Common Multiple of 557 and 561 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 557 and 561, than apply into the LCM equation.
GCF(557,561) = 1
LCM(557,561) = ( 557 × 561) / 1
LCM(557,561) = 312477 / 1
LCM(557,561) = 312477
Properties of LCM 557 and 561
(i) The LCM of 561 and 557 is associative
LCM of 557 and 561 = LCM of 561 and 557
Related Least Common Multiples of 557
Related Least Common Multiples of 561
Frequently Asked Questions on LCM of 557 and 561
1. What is the LCM of 557 and 561?
Answer: LCM of 557 and 561 is 312477.
2. What are the Factors of 557?
Answer: Factors of 557 are 1, 557. There are 2 integers that are factors of 557. The greatest factor of 557 is 557.
3. What are the Factors of 561?
Answer: Factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561. There are 8 integers that are factors of 561. The greatest factor of 561 is 561.
4. How to Find the LCM of 557 and 561?
Answer:
Least Common Multiple of 557 and 561 = 312477
Step 1: Find the prime factorization of 557
557 = 557
Step 2: Find the prime factorization of 561
561 = 3 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 312477 = 3 x 11 x 17 x 557
Step 4: Therefore, the least common multiple of 557 and 561 is 312477.