Least Common Multiple of 553 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 553 and 559 the smallest integer that is 309127 that is divisible by both numbers.
Least Common Multiple (LCM) of 553 and 559 is 309127.
LCM(553,559) = 309127
LCM of 553 and 559
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 553 and 559 by Prime method
- Least Common Multiple of 553 and 559 with GCF Formula
LCM of 553 and 559 is 309127
Least common multiple can be found by multiplying the highest exponent prime factors of 553 and 559. First we will calculate the prime factors of 553 and 559.
Prime Factorization of 553
| 7 | 553 |
| 79 | 79 |
| 1 |
Prime factors of 553 are 7,79. Prime factorization of 553 in exponential form is:
553 = 71×791
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 553 and 559.
LCM(553,559) = 71×131×431×791
LCM(553,559) = 309127
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Least Common Multiple of 553 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 553 and 559, than apply into the LCM equation.
GCF(553,559) = 1
LCM(553,559) = ( 553 × 559) / 1
LCM(553,559) = 309127 / 1
LCM(553,559) = 309127
Properties of LCM 553 and 559
(i) The LCM of 559 and 553 is associative
LCM of 553 and 559 = LCM of 559 and 553
Related Least Common Multiples of 553
Related Least Common Multiples of 559
Frequently Asked Questions on LCM of 553 and 559
1. What is the LCM of 553 and 559?
Answer: LCM of 553 and 559 is 309127.
2. What are the Factors of 553?
Answer: Factors of 553 are 1, 7, 79, 553. There are 4 integers that are factors of 553. The greatest factor of 553 is 553.
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 553 and 559?
Answer:
Least Common Multiple of 553 and 559 = 309127
Step 1: Find the prime factorization of 553
553 = 7 x 79
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 = 309127 = 7 x 13 x 43 x 79
Step 4: Therefore, the least common multiple of 553 and 559 is 309127.