Least Common Multiple of 17231 and 17237
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 17237 the smallest integer that is 297010747 that is divisible by both numbers.
Least Common Multiple (LCM) of 17231 and 17237 is 297010747.
LCM(17231,17237) = 297010747
LCM of 17231 and 17237
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17231 and 17237 by Prime method
- Least Common Multiple of 17231 and 17237 with GCF Formula
LCM of 17231 and 17237 is 297010747
Least common multiple can be found by multiplying the highest exponent prime factors of 17231 and 17237. First we will calculate the prime factors of 17231 and 17237.
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 17237
| 11 | 17237 |
| 1567 | 1567 |
| 1 |
Prime factors of 17237 are 11,1567. Prime factorization of 17237 in exponential form is:
17237 = 111×15671
Now multiplying the highest exponent prime factors to calculate the LCM of 17231 and 17237.
LCM(17231,17237) = 111×15671×172311
LCM(17231,17237) = 297010747
Factors of 17231
List of positive integer factors of 17231 that divides 17231 without a remainder.
1, 17231
Factors of 17237
List of positive integer factors of 17237 that divides 17237 without a remainder.
1, 11, 1567, 17237
Least Common Multiple of 17231 and 17237 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 17237, than apply into the LCM equation.
GCF(17231,17237) = 1
LCM(17231,17237) = ( 17231 × 17237) / 1
LCM(17231,17237) = 297010747 / 1
LCM(17231,17237) = 297010747
Properties of LCM 17231 and 17237
(i) The LCM of 17237 and 17231 is associative
LCM of 17231 and 17237 = LCM of 17237 and 17231
Related Least Common Multiples of 17231
Related Least Common Multiples of 17237
Frequently Asked Questions on LCM of 17231 and 17237
1. What is the LCM of 17231 and 17237?
Answer: LCM of 17231 and 17237 is 297010747.
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 17237?
Answer: Factors of 17237 are 1, 11, 1567, 17237. There are 4 integers that are factors of 17237. The greatest factor of 17237 is 17237.
4. How to Find the LCM of 17231 and 17237?
Answer:
Least Common Multiple of 17231 and 17237 = 297010747
Step 1: Find the prime factorization of 17231
17231 = 17231
Step 2: Find the prime factorization of 17237
17237 = 11 x 1567
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 297010747 = 11 x 1567 x 17231
Step 4: Therefore, the least common multiple of 17231 and 17237 is 297010747.