Least Common Multiple of 9269 and 9273
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 9273 the smallest integer that is 85951437 that is divisible by both numbers.
Least Common Multiple (LCM) of 9269 and 9273 is 85951437.
LCM(9269,9273) = 85951437
LCM of 9269 and 9273
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9269 and 9273 by Prime method
- Least Common Multiple of 9269 and 9273 with GCF Formula
LCM of 9269 and 9273 is 85951437
Least common multiple can be found by multiplying the highest exponent prime factors of 9269 and 9273. First we will calculate the prime factors of 9269 and 9273.
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 9273
| 3 | 9273 |
| 11 | 3091 |
| 281 | 281 |
| 1 |
Prime factors of 9273 are 3, 11,281. Prime factorization of 9273 in exponential form is:
9273 = 31×111×2811
Now multiplying the highest exponent prime factors to calculate the LCM of 9269 and 9273.
LCM(9269,9273) = 31×111×131×231×311×2811
LCM(9269,9273) = 85951437
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 9273
List of positive integer factors of 9273 that divides 9273 without a remainder.
1, 3, 11, 33, 281, 843, 3091, 9273
Least Common Multiple of 9269 and 9273 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 9273, than apply into the LCM equation.
GCF(9269,9273) = 1
LCM(9269,9273) = ( 9269 × 9273) / 1
LCM(9269,9273) = 85951437 / 1
LCM(9269,9273) = 85951437
Properties of LCM 9269 and 9273
(i) The LCM of 9273 and 9269 is associative
LCM of 9269 and 9273 = LCM of 9273 and 9269
Related Least Common Multiples of 9269
Related Least Common Multiples of 9273
Frequently Asked Questions on LCM of 9269 and 9273
1. What is the LCM of 9269 and 9273?
Answer: LCM of 9269 and 9273 is 85951437.
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 9273?
Answer: Factors of 9273 are 1, 3, 11, 33, 281, 843, 3091, 9273. There are 8 integers that are factors of 9273. The greatest factor of 9273 is 9273.
4. How to Find the LCM of 9269 and 9273?
Answer:
Least Common Multiple of 9269 and 9273 = 85951437
Step 1: Find the prime factorization of 9269
9269 = 13 x 23 x 31
Step 2: Find the prime factorization of 9273
9273 = 3 x 11 x 281
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 85951437 = 3 x 11 x 13 x 23 x 31 x 281
Step 4: Therefore, the least common multiple of 9269 and 9273 is 85951437.