Least Common Multiple of 17237 and 17243
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17237 and 17243 the smallest integer that is 297217591 that is divisible by both numbers.
Least Common Multiple (LCM) of 17237 and 17243 is 297217591.
LCM(17237,17243) = 297217591
LCM of 17237 and 17243
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17237 and 17243 by Prime method
- Least Common Multiple of 17237 and 17243 with GCF Formula
LCM of 17237 and 17243 is 297217591
Least common multiple can be found by multiplying the highest exponent prime factors of 17237 and 17243. First we will calculate the prime factors of 17237 and 17243.
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
Prime Factorization of 17243
| 43 | 17243 |
| 401 | 401 |
| 1 |
Prime factors of 17243 are 43,401. Prime factorization of 17243 in exponential form is:
17243 = 431×4011
Now multiplying the highest exponent prime factors to calculate the LCM of 17237 and 17243.
LCM(17237,17243) = 111×431×4011×15671
LCM(17237,17243) = 297217591
Factors of 17237
List of positive integer factors of 17237 that divides 17237 without a remainder.
1, 11, 1567, 17237
Factors of 17243
List of positive integer factors of 17243 that divides 17243 without a remainder.
1, 43, 401, 17243
Least Common Multiple of 17237 and 17243 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17237 and 17243, than apply into the LCM equation.
GCF(17237,17243) = 1
LCM(17237,17243) = ( 17237 × 17243) / 1
LCM(17237,17243) = 297217591 / 1
LCM(17237,17243) = 297217591
Properties of LCM 17237 and 17243
(i) The LCM of 17243 and 17237 is associative
LCM of 17237 and 17243 = LCM of 17243 and 17237
Related Least Common Multiples of 17237
Related Least Common Multiples of 17243
Frequently Asked Questions on LCM of 17237 and 17243
1. What is the LCM of 17237 and 17243?
Answer: LCM of 17237 and 17243 is 297217591.
2. 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.
3. What are the Factors of 17243?
Answer: Factors of 17243 are 1, 43, 401, 17243. There are 4 integers that are factors of 17243. The greatest factor of 17243 is 17243.
4. How to Find the LCM of 17237 and 17243?
Answer:
Least Common Multiple of 17237 and 17243 = 297217591
Step 1: Find the prime factorization of 17237
17237 = 11 x 1567
Step 2: Find the prime factorization of 17243
17243 = 43 x 401
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 297217591 = 11 x 43 x 401 x 1567
Step 4: Therefore, the least common multiple of 17237 and 17243 is 297217591.