Least Common Multiple of 17225 and 17233
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 17233 the smallest integer that is 296838425 that is divisible by both numbers.
Least Common Multiple (LCM) of 17225 and 17233 is 296838425.
LCM(17225,17233) = 296838425
LCM of 17225 and 17233
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17225 and 17233 by Prime method
- Least Common Multiple of 17225 and 17233 with GCF Formula
LCM of 17225 and 17233 is 296838425
Least common multiple can be found by multiplying the highest exponent prime factors of 17225 and 17233. First we will calculate the prime factors of 17225 and 17233.
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 17233
| 19 | 17233 |
| 907 | 907 |
| 1 |
Prime factors of 17233 are 19,907. Prime factorization of 17233 in exponential form is:
17233 = 191×9071
Now multiplying the highest exponent prime factors to calculate the LCM of 17225 and 17233.
LCM(17225,17233) = 52×131×191×531×9071
LCM(17225,17233) = 296838425
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 17233
List of positive integer factors of 17233 that divides 17233 without a remainder.
1, 19, 907, 17233
Least Common Multiple of 17225 and 17233 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 17233, than apply into the LCM equation.
GCF(17225,17233) = 1
LCM(17225,17233) = ( 17225 × 17233) / 1
LCM(17225,17233) = 296838425 / 1
LCM(17225,17233) = 296838425
Properties of LCM 17225 and 17233
(i) The LCM of 17233 and 17225 is associative
LCM of 17225 and 17233 = LCM of 17233 and 17225
Related Least Common Multiples of 17225
Related Least Common Multiples of 17233
Frequently Asked Questions on LCM of 17225 and 17233
1. What is the LCM of 17225 and 17233?
Answer: LCM of 17225 and 17233 is 296838425.
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 17233?
Answer: Factors of 17233 are 1, 19, 907, 17233. There are 4 integers that are factors of 17233. The greatest factor of 17233 is 17233.
4. How to Find the LCM of 17225 and 17233?
Answer:
Least Common Multiple of 17225 and 17233 = 296838425
Step 1: Find the prime factorization of 17225
17225 = 5 x 5 x 13 x 53
Step 2: Find the prime factorization of 17233
17233 = 19 x 907
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 296838425 = 5 x 5 x 13 x 19 x 53 x 907
Step 4: Therefore, the least common multiple of 17225 and 17233 is 296838425.