Least Common Multiple of 17231 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 17231 and 17233 the smallest integer that is 296941823 that is divisible by both numbers.
Least Common Multiple (LCM) of 17231 and 17233 is 296941823.
LCM(17231,17233) = 296941823
LCM of 17231 and 17233
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17231 and 17233 by Prime method
- Least Common Multiple of 17231 and 17233 with GCF Formula
LCM of 17231 and 17233 is 296941823
Least common multiple can be found by multiplying the highest exponent prime factors of 17231 and 17233. First we will calculate the prime factors of 17231 and 17233.
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 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 17231 and 17233.
LCM(17231,17233) = 191×9071×172311
LCM(17231,17233) = 296941823
Factors of 17231
List of positive integer factors of 17231 that divides 17231 without a remainder.
1, 17231
Factors of 17233
List of positive integer factors of 17233 that divides 17233 without a remainder.
1, 19, 907, 17233
Least Common Multiple of 17231 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 17231 and 17233, than apply into the LCM equation.
GCF(17231,17233) = 1
LCM(17231,17233) = ( 17231 × 17233) / 1
LCM(17231,17233) = 296941823 / 1
LCM(17231,17233) = 296941823
Properties of LCM 17231 and 17233
(i) The LCM of 17233 and 17231 is associative
LCM of 17231 and 17233 = LCM of 17233 and 17231
Related Least Common Multiples of 17231
Related Least Common Multiples of 17233
Frequently Asked Questions on LCM of 17231 and 17233
1. What is the LCM of 17231 and 17233?
Answer: LCM of 17231 and 17233 is 296941823.
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 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 17231 and 17233?
Answer:
Least Common Multiple of 17231 and 17233 = 296941823
Step 1: Find the prime factorization of 17231
17231 = 17231
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 = 296941823 = 19 x 907 x 17231
Step 4: Therefore, the least common multiple of 17231 and 17233 is 296941823.