Least Common Multiple of 17234 and 17241
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17234 and 17241 the smallest integer that is 42447342 that is divisible by both numbers.
Least Common Multiple (LCM) of 17234 and 17241 is 42447342.
LCM(17234,17241) = 42447342
LCM of 17234 and 17241
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17234 and 17241 by Prime method
- Least Common Multiple of 17234 and 17241 with GCF Formula
LCM of 17234 and 17241 is 42447342
Least common multiple can be found by multiplying the highest exponent prime factors of 17234 and 17241. First we will calculate the prime factors of 17234 and 17241.
Prime Factorization of 17234
| 2 | 17234 |
| 7 | 8617 |
| 1231 | 1231 |
| 1 |
Prime factors of 17234 are 2, 7,1231. Prime factorization of 17234 in exponential form is:
17234 = 21×71×12311
Prime Factorization of 17241
| 3 | 17241 |
| 7 | 5747 |
| 821 | 821 |
| 1 |
Prime factors of 17241 are 3, 7,821. Prime factorization of 17241 in exponential form is:
17241 = 31×71×8211
Now multiplying the highest exponent prime factors to calculate the LCM of 17234 and 17241.
LCM(17234,17241) = 21×31×71×8211×12311
LCM(17234,17241) = 42447342
Factors of 17234
List of positive integer factors of 17234 that divides 17234 without a remainder.
1, 2, 7, 14, 1231, 2462, 8617, 17234
Factors of 17241
List of positive integer factors of 17241 that divides 17241 without a remainder.
1, 3, 7, 21, 821, 2463, 5747, 17241
Least Common Multiple of 17234 and 17241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17234 and 17241, than apply into the LCM equation.
GCF(17234,17241) = 7
LCM(17234,17241) = ( 17234 × 17241) / 7
LCM(17234,17241) = 297131394 / 7
LCM(17234,17241) = 42447342
Properties of LCM 17234 and 17241
(i) The LCM of 17241 and 17234 is associative
LCM of 17234 and 17241 = LCM of 17241 and 17234
Related Least Common Multiples of 17234
Related Least Common Multiples of 17241
Frequently Asked Questions on LCM of 17234 and 17241
1. What is the LCM of 17234 and 17241?
Answer: LCM of 17234 and 17241 is 42447342.
2. What are the Factors of 17234?
Answer: Factors of 17234 are 1, 2, 7, 14, 1231, 2462, 8617, 17234. There are 8 integers that are factors of 17234. The greatest factor of 17234 is 17234.
3. What are the Factors of 17241?
Answer: Factors of 17241 are 1, 3, 7, 21, 821, 2463, 5747, 17241. There are 8 integers that are factors of 17241. The greatest factor of 17241 is 17241.
4. How to Find the LCM of 17234 and 17241?
Answer:
Least Common Multiple of 17234 and 17241 = 42447342
Step 1: Find the prime factorization of 17234
17234 = 2 x 7 x 1231
Step 2: Find the prime factorization of 17241
17241 = 3 x 7 x 821
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42447342 = 2 x 3 x 7 x 821 x 1231
Step 4: Therefore, the least common multiple of 17234 and 17241 is 42447342.