Least Common Multiple of 5525 and 5529
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5525 and 5529 the smallest integer that is 30547725 that is divisible by both numbers.
Least Common Multiple (LCM) of 5525 and 5529 is 30547725.
LCM(5525,5529) = 30547725
LCM of 5525 and 5529
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5525 and 5529 by Prime method
- Least Common Multiple of 5525 and 5529 with GCF Formula
LCM of 5525 and 5529 is 30547725
Least common multiple can be found by multiplying the highest exponent prime factors of 5525 and 5529. First we will calculate the prime factors of 5525 and 5529.
Prime Factorization of 5525
| 5 | 5525 |
| 5 | 1105 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 5525 are 5, 13,17. Prime factorization of 5525 in exponential form is:
5525 = 52×131×171
Prime Factorization of 5529
| 3 | 5529 |
| 19 | 1843 |
| 97 | 97 |
| 1 |
Prime factors of 5529 are 3, 19,97. Prime factorization of 5529 in exponential form is:
5529 = 31×191×971
Now multiplying the highest exponent prime factors to calculate the LCM of 5525 and 5529.
LCM(5525,5529) = 31×52×131×171×191×971
LCM(5525,5529) = 30547725
Factors of 5525
List of positive integer factors of 5525 that divides 5525 without a remainder.
1, 5, 13, 17, 25, 65, 85, 221, 325, 425, 1105, 5525
Factors of 5529
List of positive integer factors of 5529 that divides 5529 without a remainder.
1, 3, 19, 57, 97, 291, 1843, 5529
Least Common Multiple of 5525 and 5529 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5525 and 5529, than apply into the LCM equation.
GCF(5525,5529) = 1
LCM(5525,5529) = ( 5525 × 5529) / 1
LCM(5525,5529) = 30547725 / 1
LCM(5525,5529) = 30547725
Properties of LCM 5525 and 5529
(i) The LCM of 5529 and 5525 is associative
LCM of 5525 and 5529 = LCM of 5529 and 5525
Related Least Common Multiples of 5525
Related Least Common Multiples of 5529
Frequently Asked Questions on LCM of 5525 and 5529
1. What is the LCM of 5525 and 5529?
Answer: LCM of 5525 and 5529 is 30547725.
2. What are the Factors of 5525?
Answer: Factors of 5525 are 1, 5, 13, 17, 25, 65, 85, 221, 325, 425, 1105, 5525. There are 12 integers that are factors of 5525. The greatest factor of 5525 is 5525.
3. What are the Factors of 5529?
Answer: Factors of 5529 are 1, 3, 19, 57, 97, 291, 1843, 5529. There are 8 integers that are factors of 5529. The greatest factor of 5529 is 5529.
4. How to Find the LCM of 5525 and 5529?
Answer:
Least Common Multiple of 5525 and 5529 = 30547725
Step 1: Find the prime factorization of 5525
5525 = 5 x 5 x 13 x 17
Step 2: Find the prime factorization of 5529
5529 = 3 x 19 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30547725 = 3 x 5 x 5 x 13 x 17 x 19 x 97
Step 4: Therefore, the least common multiple of 5525 and 5529 is 30547725.