Least Common Multiple of 1441 and 1443
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 1443 the smallest integer that is 2079363 that is divisible by both numbers.
Least Common Multiple (LCM) of 1441 and 1443 is 2079363.
LCM(1441,1443) = 2079363
LCM of 1441 and 1443
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1441 and 1443 by Prime method
- Least Common Multiple of 1441 and 1443 with GCF Formula
LCM of 1441 and 1443 is 2079363
Least common multiple can be found by multiplying the highest exponent prime factors of 1441 and 1443. First we will calculate the prime factors of 1441 and 1443.
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 1443
| 3 | 1443 |
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 1443 are 3, 13,37. Prime factorization of 1443 in exponential form is:
1443 = 31×131×371
Now multiplying the highest exponent prime factors to calculate the LCM of 1441 and 1443.
LCM(1441,1443) = 31×111×131×371×1311
LCM(1441,1443) = 2079363
Factors of 1441
List of positive integer factors of 1441 that divides 1441 without a remainder.
1, 11, 131, 1441
Factors of 1443
List of positive integer factors of 1443 that divides 1443 without a remainder.
1, 3, 13, 37, 39, 111, 481, 1443
Least Common Multiple of 1441 and 1443 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 1443, than apply into the LCM equation.
GCF(1441,1443) = 1
LCM(1441,1443) = ( 1441 × 1443) / 1
LCM(1441,1443) = 2079363 / 1
LCM(1441,1443) = 2079363
Properties of LCM 1441 and 1443
(i) The LCM of 1443 and 1441 is associative
LCM of 1441 and 1443 = LCM of 1443 and 1441
Related Least Common Multiples of 1441
Related Least Common Multiples of 1443
Frequently Asked Questions on LCM of 1441 and 1443
1. What is the LCM of 1441 and 1443?
Answer: LCM of 1441 and 1443 is 2079363.
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 1443?
Answer: Factors of 1443 are 1, 3, 13, 37, 39, 111, 481, 1443. There are 8 integers that are factors of 1443. The greatest factor of 1443 is 1443.
4. How to Find the LCM of 1441 and 1443?
Answer:
Least Common Multiple of 1441 and 1443 = 2079363
Step 1: Find the prime factorization of 1441
1441 = 11 x 131
Step 2: Find the prime factorization of 1443
1443 = 3 x 13 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2079363 = 3 x 11 x 13 x 37 x 131
Step 4: Therefore, the least common multiple of 1441 and 1443 is 2079363.