Least Common Multiple of 1441 and 1445
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 1445 the smallest integer that is 2082245 that is divisible by both numbers.
Least Common Multiple (LCM) of 1441 and 1445 is 2082245.
LCM(1441,1445) = 2082245
LCM of 1441 and 1445
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1441 and 1445 by Prime method
- Least Common Multiple of 1441 and 1445 with GCF Formula
LCM of 1441 and 1445 is 2082245
Least common multiple can be found by multiplying the highest exponent prime factors of 1441 and 1445. First we will calculate the prime factors of 1441 and 1445.
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 1445
| 5 | 1445 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 1445 are 5,17. Prime factorization of 1445 in exponential form is:
1445 = 51×172
Now multiplying the highest exponent prime factors to calculate the LCM of 1441 and 1445.
LCM(1441,1445) = 51×111×172×1311
LCM(1441,1445) = 2082245
Factors of 1441
List of positive integer factors of 1441 that divides 1441 without a remainder.
1, 11, 131, 1441
Factors of 1445
List of positive integer factors of 1445 that divides 1445 without a remainder.
1, 5, 17, 85, 289, 1445
Least Common Multiple of 1441 and 1445 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 1445, than apply into the LCM equation.
GCF(1441,1445) = 1
LCM(1441,1445) = ( 1441 × 1445) / 1
LCM(1441,1445) = 2082245 / 1
LCM(1441,1445) = 2082245
Properties of LCM 1441 and 1445
(i) The LCM of 1445 and 1441 is associative
LCM of 1441 and 1445 = LCM of 1445 and 1441
Related Least Common Multiples of 1441
Related Least Common Multiples of 1445
Frequently Asked Questions on LCM of 1441 and 1445
1. What is the LCM of 1441 and 1445?
Answer: LCM of 1441 and 1445 is 2082245.
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 1445?
Answer: Factors of 1445 are 1, 5, 17, 85, 289, 1445. There are 6 integers that are factors of 1445. The greatest factor of 1445 is 1445.
4. How to Find the LCM of 1441 and 1445?
Answer:
Least Common Multiple of 1441 and 1445 = 2082245
Step 1: Find the prime factorization of 1441
1441 = 11 x 131
Step 2: Find the prime factorization of 1445
1445 = 5 x 17 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2082245 = 5 x 11 x 17 x 17 x 131
Step 4: Therefore, the least common multiple of 1441 and 1445 is 2082245.
