Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5582 and 5588 the smallest integer that is 15596108 that is divisible by both numbers.
Least Common Multiple (LCM) of 5582 and 5588 is 15596108.
LCM(5582,5588) = 15596108
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 5582 and 5588. First we will calculate the prime factors of 5582 and 5588.
Prime Factorization of 5582
2 | 5582 |
2791 | 2791 |
1 |
Prime factors of 5582 are 2,2791. Prime factorization of 5582 in exponential form is:
5582 = 21×27911
Prime Factorization of 5588
2 | 5588 |
2 | 2794 |
11 | 1397 |
127 | 127 |
1 |
Prime factors of 5588 are 2, 11,127. Prime factorization of 5588 in exponential form is:
5588 = 22×111×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 5582 and 5588.
LCM(5582,5588) = 22×111×1271×27911
LCM(5582,5588) = 15596108
Factors of 5582
List of positive integer factors of 5582 that divides 5582 without a remainder.
1, 2, 2791, 5582
Factors of 5588
List of positive integer factors of 5588 that divides 5588 without a remainder.
1, 2, 4, 11, 22, 44, 127, 254, 508, 1397, 2794, 5588
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5582 and 5588, than apply into the LCM equation.
GCF(5582,5588) = 2
LCM(5582,5588) = ( 5582 × 5588) / 2
LCM(5582,5588) = 31192216 / 2
LCM(5582,5588) = 15596108
(i) The LCM of 5588 and 5582 is associative
LCM of 5582 and 5588 = LCM of 5588 and 5582
1. What is the LCM of 5582 and 5588?
Answer: LCM of 5582 and 5588 is 15596108.
2. What are the Factors of 5582?
Answer: Factors of 5582 are 1, 2, 2791, 5582. There are 4 integers that are factors of 5582. The greatest factor of 5582 is 5582.
3. What are the Factors of 5588?
Answer: Factors of 5588 are 1, 2, 4, 11, 22, 44, 127, 254, 508, 1397, 2794, 5588. There are 12 integers that are factors of 5588. The greatest factor of 5588 is 5588.
4. How to Find the LCM of 5582 and 5588?
Answer:
Least Common Multiple of 5582 and 5588 = 15596108
Step 1: Find the prime factorization of 5582
5582 = 2 x 2791
Step 2: Find the prime factorization of 5588
5588 = 2 x 2 x 11 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15596108 = 2 x 2 x 11 x 127 x 2791
Step 4: Therefore, the least common multiple of 5582 and 5588 is 15596108.