Least Common Multiple of 1443 and 1451
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1443 and 1451 the smallest integer that is 2093793 that is divisible by both numbers.
Least Common Multiple (LCM) of 1443 and 1451 is 2093793.
LCM(1443,1451) = 2093793
LCM of 1443 and 1451
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1443 and 1451 by Prime method
- Least Common Multiple of 1443 and 1451 with GCF Formula
LCM of 1443 and 1451 is 2093793
Least common multiple can be found by multiplying the highest exponent prime factors of 1443 and 1451. First we will calculate the prime factors of 1443 and 1451.
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
Prime Factorization of 1451
| 1451 | 1451 |
| 1 |
Prime factors of 1451 are 1451. Prime factorization of 1451 in exponential form is:
1451 = 14511
Now multiplying the highest exponent prime factors to calculate the LCM of 1443 and 1451.
LCM(1443,1451) = 31×131×371×14511
LCM(1443,1451) = 2093793
Factors of 1443
List of positive integer factors of 1443 that divides 1443 without a remainder.
1, 3, 13, 37, 39, 111, 481, 1443
Factors of 1451
List of positive integer factors of 1451 that divides 1451 without a remainder.
1, 1451
Least Common Multiple of 1443 and 1451 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1443 and 1451, than apply into the LCM equation.
GCF(1443,1451) = 1
LCM(1443,1451) = ( 1443 × 1451) / 1
LCM(1443,1451) = 2093793 / 1
LCM(1443,1451) = 2093793
Properties of LCM 1443 and 1451
(i) The LCM of 1451 and 1443 is associative
LCM of 1443 and 1451 = LCM of 1451 and 1443
Related Least Common Multiples of 1443
Related Least Common Multiples of 1451
Frequently Asked Questions on LCM of 1443 and 1451
1. What is the LCM of 1443 and 1451?
Answer: LCM of 1443 and 1451 is 2093793.
2. 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.
3. What are the Factors of 1451?
Answer: Factors of 1451 are 1, 1451. There are 2 integers that are factors of 1451. The greatest factor of 1451 is 1451.
4. How to Find the LCM of 1443 and 1451?
Answer:
Least Common Multiple of 1443 and 1451 = 2093793
Step 1: Find the prime factorization of 1443
1443 = 3 x 13 x 37
Step 2: Find the prime factorization of 1451
1451 = 1451
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2093793 = 3 x 13 x 37 x 1451
Step 4: Therefore, the least common multiple of 1443 and 1451 is 2093793.