Least Common Multiple of 17225 and 17231
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17225 and 17231 the smallest integer that is 296803975 that is divisible by both numbers.
Least Common Multiple (LCM) of 17225 and 17231 is 296803975.
LCM(17225,17231) = 296803975
LCM of 17225 and 17231
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17225 and 17231 by Prime method
- Least Common Multiple of 17225 and 17231 with GCF Formula
LCM of 17225 and 17231 is 296803975
Least common multiple can be found by multiplying the highest exponent prime factors of 17225 and 17231. First we will calculate the prime factors of 17225 and 17231.
Prime Factorization of 17225
| 5 | 17225 |
| 5 | 3445 |
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 17225 are 5, 13,53. Prime factorization of 17225 in exponential form is:
17225 = 52×131×531
Prime Factorization of 17231
| 17231 | 17231 |
| 1 |
Prime factors of 17231 are 17231. Prime factorization of 17231 in exponential form is:
17231 = 172311
Now multiplying the highest exponent prime factors to calculate the LCM of 17225 and 17231.
LCM(17225,17231) = 52×131×531×172311
LCM(17225,17231) = 296803975
Factors of 17225
List of positive integer factors of 17225 that divides 17225 without a remainder.
1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445, 17225
Factors of 17231
List of positive integer factors of 17231 that divides 17231 without a remainder.
1, 17231
Least Common Multiple of 17225 and 17231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17225 and 17231, than apply into the LCM equation.
GCF(17225,17231) = 1
LCM(17225,17231) = ( 17225 × 17231) / 1
LCM(17225,17231) = 296803975 / 1
LCM(17225,17231) = 296803975
Properties of LCM 17225 and 17231
(i) The LCM of 17231 and 17225 is associative
LCM of 17225 and 17231 = LCM of 17231 and 17225
Related Least Common Multiples of 17225
Related Least Common Multiples of 17231
Frequently Asked Questions on LCM of 17225 and 17231
1. What is the LCM of 17225 and 17231?
Answer: LCM of 17225 and 17231 is 296803975.
2. What are the Factors of 17225?
Answer: Factors of 17225 are 1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445, 17225. There are 12 integers that are factors of 17225. The greatest factor of 17225 is 17225.
3. What are the Factors of 17231?
Answer: Factors of 17231 are 1, 17231. There are 2 integers that are factors of 17231. The greatest factor of 17231 is 17231.
4. How to Find the LCM of 17225 and 17231?
Answer:
Least Common Multiple of 17225 and 17231 = 296803975
Step 1: Find the prime factorization of 17225
17225 = 5 x 5 x 13 x 53
Step 2: Find the prime factorization of 17231
17231 = 17231
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 296803975 = 5 x 5 x 13 x 53 x 17231
Step 4: Therefore, the least common multiple of 17225 and 17231 is 296803975.