Least Common Multiple of 9267 and 9271
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9267 and 9271 the smallest integer that is 85914357 that is divisible by both numbers.
Least Common Multiple (LCM) of 9267 and 9271 is 85914357.
LCM(9267,9271) = 85914357
LCM of 9267 and 9271
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9267 and 9271 by Prime method
- Least Common Multiple of 9267 and 9271 with GCF Formula
LCM of 9267 and 9271 is 85914357
Least common multiple can be found by multiplying the highest exponent prime factors of 9267 and 9271. First we will calculate the prime factors of 9267 and 9271.
Prime Factorization of 9267
| 3 | 9267 |
| 3089 | 3089 |
| 1 |
Prime factors of 9267 are 3,3089. Prime factorization of 9267 in exponential form is:
9267 = 31×30891
Prime Factorization of 9271
| 73 | 9271 |
| 127 | 127 |
| 1 |
Prime factors of 9271 are 73,127. Prime factorization of 9271 in exponential form is:
9271 = 731×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 9267 and 9271.
LCM(9267,9271) = 31×731×1271×30891
LCM(9267,9271) = 85914357
Factors of 9267
List of positive integer factors of 9267 that divides 9267 without a remainder.
1, 3, 3089, 9267
Factors of 9271
List of positive integer factors of 9271 that divides 9271 without a remainder.
1, 73, 127, 9271
Least Common Multiple of 9267 and 9271 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9267 and 9271, than apply into the LCM equation.
GCF(9267,9271) = 1
LCM(9267,9271) = ( 9267 × 9271) / 1
LCM(9267,9271) = 85914357 / 1
LCM(9267,9271) = 85914357
Properties of LCM 9267 and 9271
(i) The LCM of 9271 and 9267 is associative
LCM of 9267 and 9271 = LCM of 9271 and 9267
Related Least Common Multiples of 9267
Related Least Common Multiples of 9271
Frequently Asked Questions on LCM of 9267 and 9271
1. What is the LCM of 9267 and 9271?
Answer: LCM of 9267 and 9271 is 85914357.
2. What are the Factors of 9267?
Answer: Factors of 9267 are 1, 3, 3089, 9267. There are 4 integers that are factors of 9267. The greatest factor of 9267 is 9267.
3. What are the Factors of 9271?
Answer: Factors of 9271 are 1, 73, 127, 9271. There are 4 integers that are factors of 9271. The greatest factor of 9271 is 9271.
4. How to Find the LCM of 9267 and 9271?
Answer:
Least Common Multiple of 9267 and 9271 = 85914357
Step 1: Find the prime factorization of 9267
9267 = 3 x 3089
Step 2: Find the prime factorization of 9271
9271 = 73 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 85914357 = 3 x 73 x 127 x 3089
Step 4: Therefore, the least common multiple of 9267 and 9271 is 85914357.