Least Common Multiple of 9269 and 9275
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9269 and 9275 the smallest integer that is 85969975 that is divisible by both numbers.
Least Common Multiple (LCM) of 9269 and 9275 is 85969975.
LCM(9269,9275) = 85969975
LCM of 9269 and 9275
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9269 and 9275 by Prime method
- Least Common Multiple of 9269 and 9275 with GCF Formula
LCM of 9269 and 9275 is 85969975
Least common multiple can be found by multiplying the highest exponent prime factors of 9269 and 9275. First we will calculate the prime factors of 9269 and 9275.
Prime Factorization of 9269
| 13 | 9269 |
| 23 | 713 |
| 31 | 31 |
| 1 |
Prime factors of 9269 are 13, 23,31. Prime factorization of 9269 in exponential form is:
9269 = 131×231×311
Prime Factorization of 9275
| 5 | 9275 |
| 5 | 1855 |
| 7 | 371 |
| 53 | 53 |
| 1 |
Prime factors of 9275 are 5, 7,53. Prime factorization of 9275 in exponential form is:
9275 = 52×71×531
Now multiplying the highest exponent prime factors to calculate the LCM of 9269 and 9275.
LCM(9269,9275) = 52×71×131×231×311×531
LCM(9269,9275) = 85969975
Factors of 9269
List of positive integer factors of 9269 that divides 9269 without a remainder.
1, 13, 23, 31, 299, 403, 713, 9269
Factors of 9275
List of positive integer factors of 9275 that divides 9275 without a remainder.
1, 5, 7, 25, 35, 53, 175, 265, 371, 1325, 1855, 9275
Least Common Multiple of 9269 and 9275 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9269 and 9275, than apply into the LCM equation.
GCF(9269,9275) = 1
LCM(9269,9275) = ( 9269 × 9275) / 1
LCM(9269,9275) = 85969975 / 1
LCM(9269,9275) = 85969975
Properties of LCM 9269 and 9275
(i) The LCM of 9275 and 9269 is associative
LCM of 9269 and 9275 = LCM of 9275 and 9269
Related Least Common Multiples of 9269
Related Least Common Multiples of 9275
Frequently Asked Questions on LCM of 9269 and 9275
1. What is the LCM of 9269 and 9275?
Answer: LCM of 9269 and 9275 is 85969975.
2. What are the Factors of 9269?
Answer: Factors of 9269 are 1, 13, 23, 31, 299, 403, 713, 9269. There are 8 integers that are factors of 9269. The greatest factor of 9269 is 9269.
3. What are the Factors of 9275?
Answer: Factors of 9275 are 1, 5, 7, 25, 35, 53, 175, 265, 371, 1325, 1855, 9275. There are 12 integers that are factors of 9275. The greatest factor of 9275 is 9275.
4. How to Find the LCM of 9269 and 9275?
Answer:
Least Common Multiple of 9269 and 9275 = 85969975
Step 1: Find the prime factorization of 9269
9269 = 13 x 23 x 31
Step 2: Find the prime factorization of 9275
9275 = 5 x 5 x 7 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 85969975 = 5 x 5 x 7 x 13 x 23 x 31 x 53
Step 4: Therefore, the least common multiple of 9269 and 9275 is 85969975.