Least Common Multiple of 9223 and 9231
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9223 and 9231 the smallest integer that is 85137513 that is divisible by both numbers.
Least Common Multiple (LCM) of 9223 and 9231 is 85137513.
LCM(9223,9231) = 85137513
LCM of 9223 and 9231
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9223 and 9231 by Prime method
- Least Common Multiple of 9223 and 9231 with GCF Formula
LCM of 9223 and 9231 is 85137513
Least common multiple can be found by multiplying the highest exponent prime factors of 9223 and 9231. First we will calculate the prime factors of 9223 and 9231.
Prime Factorization of 9223
| 23 | 9223 |
| 401 | 401 |
| 1 |
Prime factors of 9223 are 23,401. Prime factorization of 9223 in exponential form is:
9223 = 231×4011
Prime Factorization of 9231
| 3 | 9231 |
| 17 | 3077 |
| 181 | 181 |
| 1 |
Prime factors of 9231 are 3, 17,181. Prime factorization of 9231 in exponential form is:
9231 = 31×171×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 9223 and 9231.
LCM(9223,9231) = 31×171×231×1811×4011
LCM(9223,9231) = 85137513
Factors of 9223
List of positive integer factors of 9223 that divides 9223 without a remainder.
1, 23, 401, 9223
Factors of 9231
List of positive integer factors of 9231 that divides 9231 without a remainder.
1, 3, 17, 51, 181, 543, 3077, 9231
Least Common Multiple of 9223 and 9231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9223 and 9231, than apply into the LCM equation.
GCF(9223,9231) = 1
LCM(9223,9231) = ( 9223 × 9231) / 1
LCM(9223,9231) = 85137513 / 1
LCM(9223,9231) = 85137513
Properties of LCM 9223 and 9231
(i) The LCM of 9231 and 9223 is associative
LCM of 9223 and 9231 = LCM of 9231 and 9223
Related Least Common Multiples of 9223
Related Least Common Multiples of 9231
Frequently Asked Questions on LCM of 9223 and 9231
1. What is the LCM of 9223 and 9231?
Answer: LCM of 9223 and 9231 is 85137513.
2. What are the Factors of 9223?
Answer: Factors of 9223 are 1, 23, 401, 9223. There are 4 integers that are factors of 9223. The greatest factor of 9223 is 9223.
3. What are the Factors of 9231?
Answer: Factors of 9231 are 1, 3, 17, 51, 181, 543, 3077, 9231. There are 8 integers that are factors of 9231. The greatest factor of 9231 is 9231.
4. How to Find the LCM of 9223 and 9231?
Answer:
Least Common Multiple of 9223 and 9231 = 85137513
Step 1: Find the prime factorization of 9223
9223 = 23 x 401
Step 2: Find the prime factorization of 9231
9231 = 3 x 17 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 85137513 = 3 x 17 x 23 x 181 x 401
Step 4: Therefore, the least common multiple of 9223 and 9231 is 85137513.