Least Common Multiple of 554 and 559
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 554 and 559 the smallest integer that is 309686 that is divisible by both numbers.
Least Common Multiple (LCM) of 554 and 559 is 309686.
LCM(554,559) = 309686
LCM of 554 and 559
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 554 and 559 by Prime method
- Least Common Multiple of 554 and 559 with GCF Formula
LCM of 554 and 559 is 309686
Least common multiple can be found by multiplying the highest exponent prime factors of 554 and 559. First we will calculate the prime factors of 554 and 559.
Prime Factorization of 554
| 2 | 554 |
| 277 | 277 |
| 1 |
Prime factors of 554 are 2,277. Prime factorization of 554 in exponential form is:
554 = 21×2771
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
Now multiplying the highest exponent prime factors to calculate the LCM of 554 and 559.
LCM(554,559) = 21×131×431×2771
LCM(554,559) = 309686
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Least Common Multiple of 554 and 559 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 554 and 559, than apply into the LCM equation.
GCF(554,559) = 1
LCM(554,559) = ( 554 × 559) / 1
LCM(554,559) = 309686 / 1
LCM(554,559) = 309686
Properties of LCM 554 and 559
(i) The LCM of 559 and 554 is associative
LCM of 554 and 559 = LCM of 559 and 554
Related Least Common Multiples of 554
Related Least Common Multiples of 559
Frequently Asked Questions on LCM of 554 and 559
1. What is the LCM of 554 and 559?
Answer: LCM of 554 and 559 is 309686.
2. What are the Factors of 554?
Answer: Factors of 554 are 1, 2, 277, 554. There are 4 integers that are factors of 554. The greatest factor of 554 is 554.
3. 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.
4. How to Find the LCM of 554 and 559?
Answer:
Least Common Multiple of 554 and 559 = 309686
Step 1: Find the prime factorization of 554
554 = 2 x 277
Step 2: Find the prime factorization of 559
559 = 13 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 309686 = 2 x 13 x 43 x 277
Step 4: Therefore, the least common multiple of 554 and 559 is 309686.
