Least Common Multiple of 5221 and 5229
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5221 and 5229 the smallest integer that is 27300609 that is divisible by both numbers.
Least Common Multiple (LCM) of 5221 and 5229 is 27300609.
LCM(5221,5229) = 27300609
LCM of 5221 and 5229
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5221 and 5229 by Prime method
- Least Common Multiple of 5221 and 5229 with GCF Formula
LCM of 5221 and 5229 is 27300609
Least common multiple can be found by multiplying the highest exponent prime factors of 5221 and 5229. First we will calculate the prime factors of 5221 and 5229.
Prime Factorization of 5221
| 23 | 5221 |
| 227 | 227 |
| 1 |
Prime factors of 5221 are 23,227. Prime factorization of 5221 in exponential form is:
5221 = 231×2271
Prime Factorization of 5229
| 3 | 5229 |
| 3 | 1743 |
| 7 | 581 |
| 83 | 83 |
| 1 |
Prime factors of 5229 are 3, 7,83. Prime factorization of 5229 in exponential form is:
5229 = 32×71×831
Now multiplying the highest exponent prime factors to calculate the LCM of 5221 and 5229.
LCM(5221,5229) = 32×71×231×831×2271
LCM(5221,5229) = 27300609
Factors of 5221
List of positive integer factors of 5221 that divides 5221 without a remainder.
1, 23, 227, 5221
Factors of 5229
List of positive integer factors of 5229 that divides 5229 without a remainder.
1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743, 5229
Least Common Multiple of 5221 and 5229 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5221 and 5229, than apply into the LCM equation.
GCF(5221,5229) = 1
LCM(5221,5229) = ( 5221 × 5229) / 1
LCM(5221,5229) = 27300609 / 1
LCM(5221,5229) = 27300609
Properties of LCM 5221 and 5229
(i) The LCM of 5229 and 5221 is associative
LCM of 5221 and 5229 = LCM of 5229 and 5221
Related Least Common Multiples of 5221
Related Least Common Multiples of 5229
Frequently Asked Questions on LCM of 5221 and 5229
1. What is the LCM of 5221 and 5229?
Answer: LCM of 5221 and 5229 is 27300609.
2. What are the Factors of 5221?
Answer: Factors of 5221 are 1, 23, 227, 5221. There are 4 integers that are factors of 5221. The greatest factor of 5221 is 5221.
3. What are the Factors of 5229?
Answer: Factors of 5229 are 1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743, 5229. There are 12 integers that are factors of 5229. The greatest factor of 5229 is 5229.
4. How to Find the LCM of 5221 and 5229?
Answer:
Least Common Multiple of 5221 and 5229 = 27300609
Step 1: Find the prime factorization of 5221
5221 = 23 x 227
Step 2: Find the prime factorization of 5229
5229 = 3 x 3 x 7 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27300609 = 3 x 3 x 7 x 23 x 83 x 227
Step 4: Therefore, the least common multiple of 5221 and 5229 is 27300609.