Least Common Multiple of 17231 and 17235
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17231 and 17235 the smallest integer that is 296976285 that is divisible by both numbers.
Least Common Multiple (LCM) of 17231 and 17235 is 296976285.
LCM(17231,17235) = 296976285
LCM of 17231 and 17235
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17231 and 17235 by Prime method
- Least Common Multiple of 17231 and 17235 with GCF Formula
LCM of 17231 and 17235 is 296976285
Least common multiple can be found by multiplying the highest exponent prime factors of 17231 and 17235. First we will calculate the prime factors of 17231 and 17235.
Prime Factorization of 17231
| 17231 | 17231 |
| 1 |
Prime factors of 17231 are 17231. Prime factorization of 17231 in exponential form is:
17231 = 172311
Prime Factorization of 17235
| 3 | 17235 |
| 3 | 5745 |
| 5 | 1915 |
| 383 | 383 |
| 1 |
Prime factors of 17235 are 3, 5,383. Prime factorization of 17235 in exponential form is:
17235 = 32×51×3831
Now multiplying the highest exponent prime factors to calculate the LCM of 17231 and 17235.
LCM(17231,17235) = 32×51×3831×172311
LCM(17231,17235) = 296976285
Factors of 17231
List of positive integer factors of 17231 that divides 17231 without a remainder.
1, 17231
Factors of 17235
List of positive integer factors of 17235 that divides 17235 without a remainder.
1, 3, 5, 9, 15, 45, 383, 1149, 1915, 3447, 5745, 17235
Least Common Multiple of 17231 and 17235 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17231 and 17235, than apply into the LCM equation.
GCF(17231,17235) = 1
LCM(17231,17235) = ( 17231 × 17235) / 1
LCM(17231,17235) = 296976285 / 1
LCM(17231,17235) = 296976285
Properties of LCM 17231 and 17235
(i) The LCM of 17235 and 17231 is associative
LCM of 17231 and 17235 = LCM of 17235 and 17231
Related Least Common Multiples of 17231
Related Least Common Multiples of 17235
Frequently Asked Questions on LCM of 17231 and 17235
1. What is the LCM of 17231 and 17235?
Answer: LCM of 17231 and 17235 is 296976285.
2. 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.
3. What are the Factors of 17235?
Answer: Factors of 17235 are 1, 3, 5, 9, 15, 45, 383, 1149, 1915, 3447, 5745, 17235. There are 12 integers that are factors of 17235. The greatest factor of 17235 is 17235.
4. How to Find the LCM of 17231 and 17235?
Answer:
Least Common Multiple of 17231 and 17235 = 296976285
Step 1: Find the prime factorization of 17231
17231 = 17231
Step 2: Find the prime factorization of 17235
17235 = 3 x 3 x 5 x 383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 296976285 = 3 x 3 x 5 x 383 x 17231
Step 4: Therefore, the least common multiple of 17231 and 17235 is 296976285.