Least Common Multiple of 1441 and 1449
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1441 and 1449 the smallest integer that is 2088009 that is divisible by both numbers.
Least Common Multiple (LCM) of 1441 and 1449 is 2088009.
LCM(1441,1449) = 2088009
LCM of 1441 and 1449
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1441 and 1449 by Prime method
- Least Common Multiple of 1441 and 1449 with GCF Formula
LCM of 1441 and 1449 is 2088009
Least common multiple can be found by multiplying the highest exponent prime factors of 1441 and 1449. First we will calculate the prime factors of 1441 and 1449.
Prime Factorization of 1441
| 11 | 1441 |
| 131 | 131 |
| 1 |
Prime factors of 1441 are 11,131. Prime factorization of 1441 in exponential form is:
1441 = 111×1311
Prime Factorization of 1449
| 3 | 1449 |
| 3 | 483 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 1449 are 3, 7,23. Prime factorization of 1449 in exponential form is:
1449 = 32×71×231
Now multiplying the highest exponent prime factors to calculate the LCM of 1441 and 1449.
LCM(1441,1449) = 32×71×111×231×1311
LCM(1441,1449) = 2088009
Factors of 1441
List of positive integer factors of 1441 that divides 1441 without a remainder.
1, 11, 131, 1441
Factors of 1449
List of positive integer factors of 1449 that divides 1449 without a remainder.
1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483, 1449
Least Common Multiple of 1441 and 1449 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1441 and 1449, than apply into the LCM equation.
GCF(1441,1449) = 1
LCM(1441,1449) = ( 1441 × 1449) / 1
LCM(1441,1449) = 2088009 / 1
LCM(1441,1449) = 2088009
Properties of LCM 1441 and 1449
(i) The LCM of 1449 and 1441 is associative
LCM of 1441 and 1449 = LCM of 1449 and 1441
Related Least Common Multiples of 1441
Related Least Common Multiples of 1449
Frequently Asked Questions on LCM of 1441 and 1449
1. What is the LCM of 1441 and 1449?
Answer: LCM of 1441 and 1449 is 2088009.
2. What are the Factors of 1441?
Answer: Factors of 1441 are 1, 11, 131, 1441. There are 4 integers that are factors of 1441. The greatest factor of 1441 is 1441.
3. What are the Factors of 1449?
Answer: Factors of 1449 are 1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483, 1449. There are 12 integers that are factors of 1449. The greatest factor of 1449 is 1449.
4. How to Find the LCM of 1441 and 1449?
Answer:
Least Common Multiple of 1441 and 1449 = 2088009
Step 1: Find the prime factorization of 1441
1441 = 11 x 131
Step 2: Find the prime factorization of 1449
1449 = 3 x 3 x 7 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2088009 = 3 x 3 x 7 x 11 x 23 x 131
Step 4: Therefore, the least common multiple of 1441 and 1449 is 2088009.