Least Common Multiple of 17241 and 17246
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17241 and 17246 the smallest integer that is 297338286 that is divisible by both numbers.
Least Common Multiple (LCM) of 17241 and 17246 is 297338286.
LCM(17241,17246) = 297338286
LCM of 17241 and 17246
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17241 and 17246 by Prime method
- Least Common Multiple of 17241 and 17246 with GCF Formula
LCM of 17241 and 17246 is 297338286
Least common multiple can be found by multiplying the highest exponent prime factors of 17241 and 17246. First we will calculate the prime factors of 17241 and 17246.
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
Prime Factorization of 17246
| 2 | 17246 |
| 8623 | 8623 |
| 1 |
Prime factors of 17246 are 2,8623. Prime factorization of 17246 in exponential form is:
17246 = 21×86231
Now multiplying the highest exponent prime factors to calculate the LCM of 17241 and 17246.
LCM(17241,17246) = 21×31×71×8211×86231
LCM(17241,17246) = 297338286
Factors of 17241
List of positive integer factors of 17241 that divides 17241 without a remainder.
1, 3, 7, 21, 821, 2463, 5747, 17241
Factors of 17246
List of positive integer factors of 17246 that divides 17246 without a remainder.
1, 2, 8623, 17246
Least Common Multiple of 17241 and 17246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17241 and 17246, than apply into the LCM equation.
GCF(17241,17246) = 1
LCM(17241,17246) = ( 17241 × 17246) / 1
LCM(17241,17246) = 297338286 / 1
LCM(17241,17246) = 297338286
Properties of LCM 17241 and 17246
(i) The LCM of 17246 and 17241 is associative
LCM of 17241 and 17246 = LCM of 17246 and 17241
Related Least Common Multiples of 17241
Related Least Common Multiples of 17246
Frequently Asked Questions on LCM of 17241 and 17246
1. What is the LCM of 17241 and 17246?
Answer: LCM of 17241 and 17246 is 297338286.
2. 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.
3. What are the Factors of 17246?
Answer: Factors of 17246 are 1, 2, 8623, 17246. There are 4 integers that are factors of 17246. The greatest factor of 17246 is 17246.
4. How to Find the LCM of 17241 and 17246?
Answer:
Least Common Multiple of 17241 and 17246 = 297338286
Step 1: Find the prime factorization of 17241
17241 = 3 x 7 x 821
Step 2: Find the prime factorization of 17246
17246 = 2 x 8623
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 297338286 = 2 x 3 x 7 x 821 x 8623
Step 4: Therefore, the least common multiple of 17241 and 17246 is 297338286.