Least Common Multiple of 17223 and 17231
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17223 and 17231 the smallest integer that is 296769513 that is divisible by both numbers.
Least Common Multiple (LCM) of 17223 and 17231 is 296769513.
LCM(17223,17231) = 296769513
LCM of 17223 and 17231
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17223 and 17231 by Prime method
- Least Common Multiple of 17223 and 17231 with GCF Formula
LCM of 17223 and 17231 is 296769513
Least common multiple can be found by multiplying the highest exponent prime factors of 17223 and 17231. First we will calculate the prime factors of 17223 and 17231.
Prime Factorization of 17223
| 3 | 17223 |
| 5741 | 5741 |
| 1 |
Prime factors of 17223 are 3,5741. Prime factorization of 17223 in exponential form is:
17223 = 31×57411
Prime Factorization of 17231
| 17231 | 17231 |
| 1 |
Prime factors of 17231 are 17231. Prime factorization of 17231 in exponential form is:
17231 = 172311
Now multiplying the highest exponent prime factors to calculate the LCM of 17223 and 17231.
LCM(17223,17231) = 31×57411×172311
LCM(17223,17231) = 296769513
Factors of 17223
List of positive integer factors of 17223 that divides 17223 without a remainder.
1, 3, 5741, 17223
Factors of 17231
List of positive integer factors of 17231 that divides 17231 without a remainder.
1, 17231
Least Common Multiple of 17223 and 17231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17223 and 17231, than apply into the LCM equation.
GCF(17223,17231) = 1
LCM(17223,17231) = ( 17223 × 17231) / 1
LCM(17223,17231) = 296769513 / 1
LCM(17223,17231) = 296769513
Properties of LCM 17223 and 17231
(i) The LCM of 17231 and 17223 is associative
LCM of 17223 and 17231 = LCM of 17231 and 17223
Related Least Common Multiples of 17223
Related Least Common Multiples of 17231
Frequently Asked Questions on LCM of 17223 and 17231
1. What is the LCM of 17223 and 17231?
Answer: LCM of 17223 and 17231 is 296769513.
2. What are the Factors of 17223?
Answer: Factors of 17223 are 1, 3, 5741, 17223. There are 4 integers that are factors of 17223. The greatest factor of 17223 is 17223.
3. What are the Factors of 17231?
Answer: Factors of 17231 are 1, 17231. There are 2 integers that are factors of 17231. The greatest factor of 17231 is 17231.
4. How to Find the LCM of 17223 and 17231?
Answer:
Least Common Multiple of 17223 and 17231 = 296769513
Step 1: Find the prime factorization of 17223
17223 = 3 x 5741
Step 2: Find the prime factorization of 17231
17231 = 17231
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 296769513 = 3 x 5741 x 17231
Step 4: Therefore, the least common multiple of 17223 and 17231 is 296769513.