Least Common Multiple of 3241 and 3249
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3241 and 3249 the smallest integer that is 10530009 that is divisible by both numbers.
Least Common Multiple (LCM) of 3241 and 3249 is 10530009.
LCM(3241,3249) = 10530009
LCM of 3241 and 3249
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3241 and 3249 by Prime method
- Least Common Multiple of 3241 and 3249 with GCF Formula
LCM of 3241 and 3249 is 10530009
Least common multiple can be found by multiplying the highest exponent prime factors of 3241 and 3249. First we will calculate the prime factors of 3241 and 3249.
Prime Factorization of 3241
| 7 | 3241 |
| 463 | 463 |
| 1 |
Prime factors of 3241 are 7,463. Prime factorization of 3241 in exponential form is:
3241 = 71×4631
Prime Factorization of 3249
| 3 | 3249 |
| 3 | 1083 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 3249 are 3,19. Prime factorization of 3249 in exponential form is:
3249 = 32×192
Now multiplying the highest exponent prime factors to calculate the LCM of 3241 and 3249.
LCM(3241,3249) = 32×71×192×4631
LCM(3241,3249) = 10530009
Factors of 3241
List of positive integer factors of 3241 that divides 3241 without a remainder.
1, 7, 463, 3241
Factors of 3249
List of positive integer factors of 3249 that divides 3249 without a remainder.
1, 3, 9, 19, 57, 171, 361, 1083, 3249
Least Common Multiple of 3241 and 3249 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3241 and 3249, than apply into the LCM equation.
GCF(3241,3249) = 1
LCM(3241,3249) = ( 3241 × 3249) / 1
LCM(3241,3249) = 10530009 / 1
LCM(3241,3249) = 10530009
Properties of LCM 3241 and 3249
(i) The LCM of 3249 and 3241 is associative
LCM of 3241 and 3249 = LCM of 3249 and 3241
Related Least Common Multiples of 3241
Related Least Common Multiples of 3249
Frequently Asked Questions on LCM of 3241 and 3249
1. What is the LCM of 3241 and 3249?
Answer: LCM of 3241 and 3249 is 10530009.
2. What are the Factors of 3241?
Answer: Factors of 3241 are 1, 7, 463, 3241. There are 4 integers that are factors of 3241. The greatest factor of 3241 is 3241.
3. What are the Factors of 3249?
Answer: Factors of 3249 are 1, 3, 9, 19, 57, 171, 361, 1083, 3249. There are 9 integers that are factors of 3249. The greatest factor of 3249 is 3249.
4. How to Find the LCM of 3241 and 3249?
Answer:
Least Common Multiple of 3241 and 3249 = 10530009
Step 1: Find the prime factorization of 3241
3241 = 7 x 463
Step 2: Find the prime factorization of 3249
3249 = 3 x 3 x 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10530009 = 3 x 3 x 7 x 19 x 19 x 463
Step 4: Therefore, the least common multiple of 3241 and 3249 is 10530009.