Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5557 and 5559 the smallest integer that is 30891363 that is divisible by both numbers.
Least Common Multiple (LCM) of 5557 and 5559 is 30891363.
LCM(5557,5559) = 30891363
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5557 and 5559. First we will calculate the prime factors of 5557 and 5559.
Prime Factorization of 5557
5557 | 5557 |
1 |
Prime factors of 5557 are 5557. Prime factorization of 5557 in exponential form is:
5557 = 55571
Prime Factorization of 5559
3 | 5559 |
17 | 1853 |
109 | 109 |
1 |
Prime factors of 5559 are 3, 17,109. Prime factorization of 5559 in exponential form is:
5559 = 31×171×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 5557 and 5559.
LCM(5557,5559) = 31×171×1091×55571
LCM(5557,5559) = 30891363
Factors of 5557
List of positive integer factors of 5557 that divides 5557 without a remainder.
1, 5557
Factors of 5559
List of positive integer factors of 5559 that divides 5559 without a remainder.
1, 3, 17, 51, 109, 327, 1853, 5559
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5557 and 5559, than apply into the LCM equation.
GCF(5557,5559) = 1
LCM(5557,5559) = ( 5557 × 5559) / 1
LCM(5557,5559) = 30891363 / 1
LCM(5557,5559) = 30891363
(i) The LCM of 5559 and 5557 is associative
LCM of 5557 and 5559 = LCM of 5559 and 5557
1. What is the LCM of 5557 and 5559?
Answer: LCM of 5557 and 5559 is 30891363.
2. What are the Factors of 5557?
Answer: Factors of 5557 are 1, 5557. There are 2 integers that are factors of 5557. The greatest factor of 5557 is 5557.
3. What are the Factors of 5559?
Answer: Factors of 5559 are 1, 3, 17, 51, 109, 327, 1853, 5559. There are 8 integers that are factors of 5559. The greatest factor of 5559 is 5559.
4. How to Find the LCM of 5557 and 5559?
Answer:
Least Common Multiple of 5557 and 5559 = 30891363
Step 1: Find the prime factorization of 5557
5557 = 5557
Step 2: Find the prime factorization of 5559
5559 = 3 x 17 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30891363 = 3 x 17 x 109 x 5557
Step 4: Therefore, the least common multiple of 5557 and 5559 is 30891363.