Least Common Multiple of 17225 and 17230
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 17230 the smallest integer that is 59357350 that is divisible by both numbers.
Least Common Multiple (LCM) of 17225 and 17230 is 59357350.
LCM(17225,17230) = 59357350
LCM of 17225 and 17230
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17225 and 17230 by Prime method
- Least Common Multiple of 17225 and 17230 with GCF Formula
LCM of 17225 and 17230 is 59357350
Least common multiple can be found by multiplying the highest exponent prime factors of 17225 and 17230. First we will calculate the prime factors of 17225 and 17230.
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 17230
| 2 | 17230 |
| 5 | 8615 |
| 1723 | 1723 |
| 1 |
Prime factors of 17230 are 2, 5,1723. Prime factorization of 17230 in exponential form is:
17230 = 21×51×17231
Now multiplying the highest exponent prime factors to calculate the LCM of 17225 and 17230.
LCM(17225,17230) = 21×52×131×531×17231
LCM(17225,17230) = 59357350
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 17230
List of positive integer factors of 17230 that divides 17230 without a remainder.
1, 2, 5, 10, 1723, 3446, 8615, 17230
Least Common Multiple of 17225 and 17230 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 17230, than apply into the LCM equation.
GCF(17225,17230) = 5
LCM(17225,17230) = ( 17225 × 17230) / 5
LCM(17225,17230) = 296786750 / 5
LCM(17225,17230) = 59357350
Properties of LCM 17225 and 17230
(i) The LCM of 17230 and 17225 is associative
LCM of 17225 and 17230 = LCM of 17230 and 17225
Related Least Common Multiples of 17225
Related Least Common Multiples of 17230
Frequently Asked Questions on LCM of 17225 and 17230
1. What is the LCM of 17225 and 17230?
Answer: LCM of 17225 and 17230 is 59357350.
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 17230?
Answer: Factors of 17230 are 1, 2, 5, 10, 1723, 3446, 8615, 17230. There are 8 integers that are factors of 17230. The greatest factor of 17230 is 17230.
4. How to Find the LCM of 17225 and 17230?
Answer:
Least Common Multiple of 17225 and 17230 = 59357350
Step 1: Find the prime factorization of 17225
17225 = 5 x 5 x 13 x 53
Step 2: Find the prime factorization of 17230
17230 = 2 x 5 x 1723
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59357350 = 2 x 5 x 5 x 13 x 53 x 1723
Step 4: Therefore, the least common multiple of 17225 and 17230 is 59357350.