Least Common Multiple of 17237 and 17242
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 17242 the smallest integer that is 297200354 that is divisible by both numbers.
Least Common Multiple (LCM) of 17237 and 17242 is 297200354.
LCM(17237,17242) = 297200354
LCM of 17237 and 17242
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17237 and 17242 by Prime method
- Least Common Multiple of 17237 and 17242 with GCF Formula
LCM of 17237 and 17242 is 297200354
Least common multiple can be found by multiplying the highest exponent prime factors of 17237 and 17242. First we will calculate the prime factors of 17237 and 17242.
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 17242
| 2 | 17242 |
| 37 | 8621 |
| 233 | 233 |
| 1 |
Prime factors of 17242 are 2, 37,233. Prime factorization of 17242 in exponential form is:
17242 = 21×371×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 17237 and 17242.
LCM(17237,17242) = 21×111×371×2331×15671
LCM(17237,17242) = 297200354
Factors of 17237
List of positive integer factors of 17237 that divides 17237 without a remainder.
1, 11, 1567, 17237
Factors of 17242
List of positive integer factors of 17242 that divides 17242 without a remainder.
1, 2, 37, 74, 233, 466, 8621, 17242
Least Common Multiple of 17237 and 17242 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 17242, than apply into the LCM equation.
GCF(17237,17242) = 1
LCM(17237,17242) = ( 17237 × 17242) / 1
LCM(17237,17242) = 297200354 / 1
LCM(17237,17242) = 297200354
Properties of LCM 17237 and 17242
(i) The LCM of 17242 and 17237 is associative
LCM of 17237 and 17242 = LCM of 17242 and 17237
Related Least Common Multiples of 17237
Related Least Common Multiples of 17242
Frequently Asked Questions on LCM of 17237 and 17242
1. What is the LCM of 17237 and 17242?
Answer: LCM of 17237 and 17242 is 297200354.
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 17242?
Answer: Factors of 17242 are 1, 2, 37, 74, 233, 466, 8621, 17242. There are 8 integers that are factors of 17242. The greatest factor of 17242 is 17242.
4. How to Find the LCM of 17237 and 17242?
Answer:
Least Common Multiple of 17237 and 17242 = 297200354
Step 1: Find the prime factorization of 17237
17237 = 11 x 1567
Step 2: Find the prime factorization of 17242
17242 = 2 x 37 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 297200354 = 2 x 11 x 37 x 233 x 1567
Step 4: Therefore, the least common multiple of 17237 and 17242 is 297200354.