Least Common Multiple of 9231 and 9235
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 9235 the smallest integer that is 85248285 that is divisible by both numbers.
Least Common Multiple (LCM) of 9231 and 9235 is 85248285.
LCM(9231,9235) = 85248285
LCM of 9231 and 9235
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9231 and 9235 by Prime method
- Least Common Multiple of 9231 and 9235 with GCF Formula
LCM of 9231 and 9235 is 85248285
Least common multiple can be found by multiplying the highest exponent prime factors of 9231 and 9235. First we will calculate the prime factors of 9231 and 9235.
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 9235
| 5 | 9235 |
| 1847 | 1847 |
| 1 |
Prime factors of 9235 are 5,1847. Prime factorization of 9235 in exponential form is:
9235 = 51×18471
Now multiplying the highest exponent prime factors to calculate the LCM of 9231 and 9235.
LCM(9231,9235) = 31×51×171×1811×18471
LCM(9231,9235) = 85248285
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 9235
List of positive integer factors of 9235 that divides 9235 without a remainder.
1, 5, 1847, 9235
Least Common Multiple of 9231 and 9235 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 9235, than apply into the LCM equation.
GCF(9231,9235) = 1
LCM(9231,9235) = ( 9231 × 9235) / 1
LCM(9231,9235) = 85248285 / 1
LCM(9231,9235) = 85248285
Properties of LCM 9231 and 9235
(i) The LCM of 9235 and 9231 is associative
LCM of 9231 and 9235 = LCM of 9235 and 9231
Related Least Common Multiples of 9231
Related Least Common Multiples of 9235
Frequently Asked Questions on LCM of 9231 and 9235
1. What is the LCM of 9231 and 9235?
Answer: LCM of 9231 and 9235 is 85248285.
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 9235?
Answer: Factors of 9235 are 1, 5, 1847, 9235. There are 4 integers that are factors of 9235. The greatest factor of 9235 is 9235.
4. How to Find the LCM of 9231 and 9235?
Answer:
Least Common Multiple of 9231 and 9235 = 85248285
Step 1: Find the prime factorization of 9231
9231 = 3 x 17 x 181
Step 2: Find the prime factorization of 9235
9235 = 5 x 1847
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 85248285 = 3 x 5 x 17 x 181 x 1847
Step 4: Therefore, the least common multiple of 9231 and 9235 is 85248285.