Least Common Multiple of 3441 and 3449
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3441 and 3449 the smallest integer that is 11868009 that is divisible by both numbers.
Least Common Multiple (LCM) of 3441 and 3449 is 11868009.
LCM(3441,3449) = 11868009
LCM of 3441 and 3449
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3441 and 3449 by Prime method
- Least Common Multiple of 3441 and 3449 with GCF Formula
LCM of 3441 and 3449 is 11868009
Least common multiple can be found by multiplying the highest exponent prime factors of 3441 and 3449. First we will calculate the prime factors of 3441 and 3449.
Prime Factorization of 3441
| 3 | 3441 |
| 31 | 1147 |
| 37 | 37 |
| 1 |
Prime factors of 3441 are 3, 31,37. Prime factorization of 3441 in exponential form is:
3441 = 31×311×371
Prime Factorization of 3449
| 3449 | 3449 |
| 1 |
Prime factors of 3449 are 3449. Prime factorization of 3449 in exponential form is:
3449 = 34491
Now multiplying the highest exponent prime factors to calculate the LCM of 3441 and 3449.
LCM(3441,3449) = 31×311×371×34491
LCM(3441,3449) = 11868009
Factors of 3441
List of positive integer factors of 3441 that divides 3441 without a remainder.
1, 3, 31, 37, 93, 111, 1147, 3441
Factors of 3449
List of positive integer factors of 3449 that divides 3449 without a remainder.
1, 3449
Least Common Multiple of 3441 and 3449 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3441 and 3449, than apply into the LCM equation.
GCF(3441,3449) = 1
LCM(3441,3449) = ( 3441 × 3449) / 1
LCM(3441,3449) = 11868009 / 1
LCM(3441,3449) = 11868009
Properties of LCM 3441 and 3449
(i) The LCM of 3449 and 3441 is associative
LCM of 3441 and 3449 = LCM of 3449 and 3441
Related Least Common Multiples of 3441
Related Least Common Multiples of 3449
Frequently Asked Questions on LCM of 3441 and 3449
1. What is the LCM of 3441 and 3449?
Answer: LCM of 3441 and 3449 is 11868009.
2. What are the Factors of 3441?
Answer: Factors of 3441 are 1, 3, 31, 37, 93, 111, 1147, 3441. There are 8 integers that are factors of 3441. The greatest factor of 3441 is 3441.
3. What are the Factors of 3449?
Answer: Factors of 3449 are 1, 3449. There are 2 integers that are factors of 3449. The greatest factor of 3449 is 3449.
4. How to Find the LCM of 3441 and 3449?
Answer:
Least Common Multiple of 3441 and 3449 = 11868009
Step 1: Find the prime factorization of 3441
3441 = 3 x 31 x 37
Step 2: Find the prime factorization of 3449
3449 = 3449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11868009 = 3 x 31 x 37 x 3449
Step 4: Therefore, the least common multiple of 3441 and 3449 is 11868009.