Least Common Multiple of 1442 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 1442 and 1443 the smallest integer that is 2080806 that is divisible by both numbers.
Least Common Multiple (LCM) of 1442 and 1443 is 2080806.
LCM(1442,1443) = 2080806
LCM of 1442 and 1443
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1442 and 1443 by Prime method
- Least Common Multiple of 1442 and 1443 with GCF Formula
LCM of 1442 and 1443 is 2080806
Least common multiple can be found by multiplying the highest exponent prime factors of 1442 and 1443. First we will calculate the prime factors of 1442 and 1443.
Prime Factorization of 1442
| 2 | 1442 |
| 7 | 721 |
| 103 | 103 |
| 1 |
Prime factors of 1442 are 2, 7,103. Prime factorization of 1442 in exponential form is:
1442 = 21×71×1031
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 1442 and 1443.
LCM(1442,1443) = 21×31×71×131×371×1031
LCM(1442,1443) = 2080806
Factors of 1442
List of positive integer factors of 1442 that divides 1442 without a remainder.
1, 2, 7, 14, 103, 206, 721, 1442
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 1442 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 1442 and 1443, than apply into the LCM equation.
GCF(1442,1443) = 1
LCM(1442,1443) = ( 1442 × 1443) / 1
LCM(1442,1443) = 2080806 / 1
LCM(1442,1443) = 2080806
Properties of LCM 1442 and 1443
(i) The LCM of 1443 and 1442 is associative
LCM of 1442 and 1443 = LCM of 1443 and 1442
Related Least Common Multiples of 1442
Related Least Common Multiples of 1443
Frequently Asked Questions on LCM of 1442 and 1443
1. What is the LCM of 1442 and 1443?
Answer: LCM of 1442 and 1443 is 2080806.
2. What are the Factors of 1442?
Answer: Factors of 1442 are 1, 2, 7, 14, 103, 206, 721, 1442. There are 8 integers that are factors of 1442. The greatest factor of 1442 is 1442.
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 1442 and 1443?
Answer:
Least Common Multiple of 1442 and 1443 = 2080806
Step 1: Find the prime factorization of 1442
1442 = 2 x 7 x 103
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 = 2080806 = 2 x 3 x 7 x 13 x 37 x 103
Step 4: Therefore, the least common multiple of 1442 and 1443 is 2080806.