Least Common Multiple of 9266 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 9266 and 9271 the smallest integer that is 85905086 that is divisible by both numbers.
Least Common Multiple (LCM) of 9266 and 9271 is 85905086.
LCM(9266,9271) = 85905086
LCM of 9266 and 9271
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9266 and 9271 by Prime method
- Least Common Multiple of 9266 and 9271 with GCF Formula
LCM of 9266 and 9271 is 85905086
Least common multiple can be found by multiplying the highest exponent prime factors of 9266 and 9271. First we will calculate the prime factors of 9266 and 9271.
Prime Factorization of 9266
| 2 | 9266 |
| 41 | 4633 |
| 113 | 113 |
| 1 |
Prime factors of 9266 are 2, 41,113. Prime factorization of 9266 in exponential form is:
9266 = 21×411×1131
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 9266 and 9271.
LCM(9266,9271) = 21×411×731×1131×1271
LCM(9266,9271) = 85905086
Factors of 9266
List of positive integer factors of 9266 that divides 9266 without a remainder.
1, 2, 41, 82, 113, 226, 4633, 9266
Factors of 9271
List of positive integer factors of 9271 that divides 9271 without a remainder.
1, 73, 127, 9271
Least Common Multiple of 9266 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 9266 and 9271, than apply into the LCM equation.
GCF(9266,9271) = 1
LCM(9266,9271) = ( 9266 × 9271) / 1
LCM(9266,9271) = 85905086 / 1
LCM(9266,9271) = 85905086
Properties of LCM 9266 and 9271
(i) The LCM of 9271 and 9266 is associative
LCM of 9266 and 9271 = LCM of 9271 and 9266
Related Least Common Multiples of 9266
Related Least Common Multiples of 9271
Frequently Asked Questions on LCM of 9266 and 9271
1. What is the LCM of 9266 and 9271?
Answer: LCM of 9266 and 9271 is 85905086.
2. What are the Factors of 9266?
Answer: Factors of 9266 are 1, 2, 41, 82, 113, 226, 4633, 9266. There are 8 integers that are factors of 9266. The greatest factor of 9266 is 9266.
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 9266 and 9271?
Answer:
Least Common Multiple of 9266 and 9271 = 85905086
Step 1: Find the prime factorization of 9266
9266 = 2 x 41 x 113
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 = 85905086 = 2 x 41 x 73 x 113 x 127
Step 4: Therefore, the least common multiple of 9266 and 9271 is 85905086.