Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5501 and 5506 the smallest integer that is 30288506 that is divisible by both numbers.
Least Common Multiple (LCM) of 5501 and 5506 is 30288506.
LCM(5501,5506) = 30288506
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 5501 and 5506. First we will calculate the prime factors of 5501 and 5506.
Prime Factorization of 5501
5501 | 5501 |
1 |
Prime factors of 5501 are 5501. Prime factorization of 5501 in exponential form is:
5501 = 55011
Prime Factorization of 5506
2 | 5506 |
2753 | 2753 |
1 |
Prime factors of 5506 are 2,2753. Prime factorization of 5506 in exponential form is:
5506 = 21×27531
Now multiplying the highest exponent prime factors to calculate the LCM of 5501 and 5506.
LCM(5501,5506) = 21×27531×55011
LCM(5501,5506) = 30288506
Factors of 5501
List of positive integer factors of 5501 that divides 5501 without a remainder.
1, 5501
Factors of 5506
List of positive integer factors of 5506 that divides 5506 without a remainder.
1, 2, 2753, 5506
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5501 and 5506, than apply into the LCM equation.
GCF(5501,5506) = 1
LCM(5501,5506) = ( 5501 × 5506) / 1
LCM(5501,5506) = 30288506 / 1
LCM(5501,5506) = 30288506
(i) The LCM of 5506 and 5501 is associative
LCM of 5501 and 5506 = LCM of 5506 and 5501
1. What is the LCM of 5501 and 5506?
Answer: LCM of 5501 and 5506 is 30288506.
2. What are the Factors of 5501?
Answer: Factors of 5501 are 1, 5501. There are 2 integers that are factors of 5501. The greatest factor of 5501 is 5501.
3. What are the Factors of 5506?
Answer: Factors of 5506 are 1, 2, 2753, 5506. There are 4 integers that are factors of 5506. The greatest factor of 5506 is 5506.
4. How to Find the LCM of 5501 and 5506?
Answer:
Least Common Multiple of 5501 and 5506 = 30288506
Step 1: Find the prime factorization of 5501
5501 = 5501
Step 2: Find the prime factorization of 5506
5506 = 2 x 2753
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30288506 = 2 x 2753 x 5501
Step 4: Therefore, the least common multiple of 5501 and 5506 is 30288506.