Least Common Multiple of 9231 and 9239
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9231 and 9239 the smallest integer that is 85285209 that is divisible by both numbers.
Least Common Multiple (LCM) of 9231 and 9239 is 85285209.
LCM(9231,9239) = 85285209
LCM of 9231 and 9239
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9231 and 9239 by Prime method
- Least Common Multiple of 9231 and 9239 with GCF Formula
LCM of 9231 and 9239 is 85285209
Least common multiple can be found by multiplying the highest exponent prime factors of 9231 and 9239. First we will calculate the prime factors of 9231 and 9239.
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
Prime Factorization of 9239
| 9239 | 9239 |
| 1 |
Prime factors of 9239 are 9239. Prime factorization of 9239 in exponential form is:
9239 = 92391
Now multiplying the highest exponent prime factors to calculate the LCM of 9231 and 9239.
LCM(9231,9239) = 31×171×1811×92391
LCM(9231,9239) = 85285209
Factors of 9231
List of positive integer factors of 9231 that divides 9231 without a remainder.
1, 3, 17, 51, 181, 543, 3077, 9231
Factors of 9239
List of positive integer factors of 9239 that divides 9239 without a remainder.
1, 9239
Least Common Multiple of 9231 and 9239 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9231 and 9239, than apply into the LCM equation.
GCF(9231,9239) = 1
LCM(9231,9239) = ( 9231 × 9239) / 1
LCM(9231,9239) = 85285209 / 1
LCM(9231,9239) = 85285209
Properties of LCM 9231 and 9239
(i) The LCM of 9239 and 9231 is associative
LCM of 9231 and 9239 = LCM of 9239 and 9231
Related Least Common Multiples of 9231
Related Least Common Multiples of 9239
Frequently Asked Questions on LCM of 9231 and 9239
1. What is the LCM of 9231 and 9239?
Answer: LCM of 9231 and 9239 is 85285209.
2. 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.
3. What are the Factors of 9239?
Answer: Factors of 9239 are 1, 9239. There are 2 integers that are factors of 9239. The greatest factor of 9239 is 9239.
4. How to Find the LCM of 9231 and 9239?
Answer:
Least Common Multiple of 9231 and 9239 = 85285209
Step 1: Find the prime factorization of 9231
9231 = 3 x 17 x 181
Step 2: Find the prime factorization of 9239
9239 = 9239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 85285209 = 3 x 17 x 181 x 9239
Step 4: Therefore, the least common multiple of 9231 and 9239 is 85285209.