Least Common Multiple of 17221 and 17225
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17221 and 17225 the smallest integer that is 296631725 that is divisible by both numbers.
Least Common Multiple (LCM) of 17221 and 17225 is 296631725.
LCM(17221,17225) = 296631725
LCM of 17221 and 17225
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17221 and 17225 by Prime method
- Least Common Multiple of 17221 and 17225 with GCF Formula
LCM of 17221 and 17225 is 296631725
Least common multiple can be found by multiplying the highest exponent prime factors of 17221 and 17225. First we will calculate the prime factors of 17221 and 17225.
Prime Factorization of 17221
| 17 | 17221 |
| 1013 | 1013 |
| 1 |
Prime factors of 17221 are 17,1013. Prime factorization of 17221 in exponential form is:
17221 = 171×10131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 17221 and 17225.
LCM(17221,17225) = 52×131×171×531×10131
LCM(17221,17225) = 296631725
Factors of 17221
List of positive integer factors of 17221 that divides 17221 without a remainder.
1, 17, 1013, 17221
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
Least Common Multiple of 17221 and 17225 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17221 and 17225, than apply into the LCM equation.
GCF(17221,17225) = 1
LCM(17221,17225) = ( 17221 × 17225) / 1
LCM(17221,17225) = 296631725 / 1
LCM(17221,17225) = 296631725
Properties of LCM 17221 and 17225
(i) The LCM of 17225 and 17221 is associative
LCM of 17221 and 17225 = LCM of 17225 and 17221
Related Least Common Multiples of 17221
Related Least Common Multiples of 17225
Frequently Asked Questions on LCM of 17221 and 17225
1. What is the LCM of 17221 and 17225?
Answer: LCM of 17221 and 17225 is 296631725.
2. What are the Factors of 17221?
Answer: Factors of 17221 are 1, 17, 1013, 17221. There are 4 integers that are factors of 17221. The greatest factor of 17221 is 17221.
3. 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.
4. How to Find the LCM of 17221 and 17225?
Answer:
Least Common Multiple of 17221 and 17225 = 296631725
Step 1: Find the prime factorization of 17221
17221 = 17 x 1013
Step 2: Find the prime factorization of 17225
17225 = 5 x 5 x 13 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 = 296631725 = 5 x 5 x 13 x 17 x 53 x 1013
Step 4: Therefore, the least common multiple of 17221 and 17225 is 296631725.