Least Common Multiple of 441 and 443
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 441 and 443 the smallest integer that is 195363 that is divisible by both numbers.
Least Common Multiple (LCM) of 441 and 443 is 195363.
LCM(441,443) = 195363
LCM of 441 and 443
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 441 and 443 by Prime method
- Least Common Multiple of 441 and 443 with GCF Formula
LCM of 441 and 443 is 195363
Least common multiple can be found by multiplying the highest exponent prime factors of 441 and 443. First we will calculate the prime factors of 441 and 443.
Prime Factorization of 441
| 3 | 441 |
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 441 are 3,7. Prime factorization of 441 in exponential form is:
441 = 32×72
Prime Factorization of 443
| 443 | 443 |
| 1 |
Prime factors of 443 are 443. Prime factorization of 443 in exponential form is:
443 = 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 441 and 443.
LCM(441,443) = 32×72×4431
LCM(441,443) = 195363
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1, 443
Least Common Multiple of 441 and 443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 441 and 443, than apply into the LCM equation.
GCF(441,443) = 1
LCM(441,443) = ( 441 × 443) / 1
LCM(441,443) = 195363 / 1
LCM(441,443) = 195363
Properties of LCM 441 and 443
(i) The LCM of 443 and 441 is associative
LCM of 441 and 443 = LCM of 443 and 441
Related Least Common Multiples of 441
Related Least Common Multiples of 443
Frequently Asked Questions on LCM of 441 and 443
1. What is the LCM of 441 and 443?
Answer: LCM of 441 and 443 is 195363.
2. What are the Factors of 441?
Answer: Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. There are 9 integers that are factors of 441. The greatest factor of 441 is 441.
3. What are the Factors of 443?
Answer: Factors of 443 are 1, 443. There are 2 integers that are factors of 443. The greatest factor of 443 is 443.
4. How to Find the LCM of 441 and 443?
Answer:
Least Common Multiple of 441 and 443 = 195363
Step 1: Find the prime factorization of 441
441 = 3 x 3 x 7 x 7
Step 2: Find the prime factorization of 443
443 = 443
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 195363 = 3 x 3 x 7 x 7 x 443
Step 4: Therefore, the least common multiple of 441 and 443 is 195363.
