Least Common Multiple of 17269 and 17273
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17269 and 17273 the smallest integer that is 298287437 that is divisible by both numbers.
Least Common Multiple (LCM) of 17269 and 17273 is 298287437.
LCM(17269,17273) = 298287437
LCM of 17269 and 17273
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17269 and 17273 by Prime method
- Least Common Multiple of 17269 and 17273 with GCF Formula
LCM of 17269 and 17273 is 298287437
Least common multiple can be found by multiplying the highest exponent prime factors of 17269 and 17273. First we will calculate the prime factors of 17269 and 17273.
Prime Factorization of 17269
| 7 | 17269 |
| 2467 | 2467 |
| 1 |
Prime factors of 17269 are 7,2467. Prime factorization of 17269 in exponential form is:
17269 = 71×24671
Prime Factorization of 17273
| 23 | 17273 |
| 751 | 751 |
| 1 |
Prime factors of 17273 are 23,751. Prime factorization of 17273 in exponential form is:
17273 = 231×7511
Now multiplying the highest exponent prime factors to calculate the LCM of 17269 and 17273.
LCM(17269,17273) = 71×231×7511×24671
LCM(17269,17273) = 298287437
Factors of 17269
List of positive integer factors of 17269 that divides 17269 without a remainder.
1, 7, 2467, 17269
Factors of 17273
List of positive integer factors of 17273 that divides 17273 without a remainder.
1, 23, 751, 17273
Least Common Multiple of 17269 and 17273 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17269 and 17273, than apply into the LCM equation.
GCF(17269,17273) = 1
LCM(17269,17273) = ( 17269 × 17273) / 1
LCM(17269,17273) = 298287437 / 1
LCM(17269,17273) = 298287437
Properties of LCM 17269 and 17273
(i) The LCM of 17273 and 17269 is associative
LCM of 17269 and 17273 = LCM of 17273 and 17269
Related Least Common Multiples of 17269
Related Least Common Multiples of 17273
Frequently Asked Questions on LCM of 17269 and 17273
1. What is the LCM of 17269 and 17273?
Answer: LCM of 17269 and 17273 is 298287437.
2. What are the Factors of 17269?
Answer: Factors of 17269 are 1, 7, 2467, 17269. There are 4 integers that are factors of 17269. The greatest factor of 17269 is 17269.
3. What are the Factors of 17273?
Answer: Factors of 17273 are 1, 23, 751, 17273. There are 4 integers that are factors of 17273. The greatest factor of 17273 is 17273.
4. How to Find the LCM of 17269 and 17273?
Answer:
Least Common Multiple of 17269 and 17273 = 298287437
Step 1: Find the prime factorization of 17269
17269 = 7 x 2467
Step 2: Find the prime factorization of 17273
17273 = 23 x 751
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 298287437 = 7 x 23 x 751 x 2467
Step 4: Therefore, the least common multiple of 17269 and 17273 is 298287437.