Least Common Multiple of 443 and 447
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 443 and 447 the smallest integer that is 198021 that is divisible by both numbers.
Least Common Multiple (LCM) of 443 and 447 is 198021.
LCM(443,447) = 198021
LCM of 443 and 447
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 443 and 447 by Prime method
- Least Common Multiple of 443 and 447 with GCF Formula
LCM of 443 and 447 is 198021
Least common multiple can be found by multiplying the highest exponent prime factors of 443 and 447. First we will calculate the prime factors of 443 and 447.
Prime Factorization of 443
| 443 | 443 |
| 1 |
Prime factors of 443 are 443. Prime factorization of 443 in exponential form is:
443 = 4431
Prime Factorization of 447
| 3 | 447 |
| 149 | 149 |
| 1 |
Prime factors of 447 are 3,149. Prime factorization of 447 in exponential form is:
447 = 31×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 443 and 447.
LCM(443,447) = 31×1491×4431
LCM(443,447) = 198021
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1, 443
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Least Common Multiple of 443 and 447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 443 and 447, than apply into the LCM equation.
GCF(443,447) = 1
LCM(443,447) = ( 443 × 447) / 1
LCM(443,447) = 198021 / 1
LCM(443,447) = 198021
Properties of LCM 443 and 447
(i) The LCM of 447 and 443 is associative
LCM of 443 and 447 = LCM of 447 and 443
Related Least Common Multiples of 443
Related Least Common Multiples of 447
Frequently Asked Questions on LCM of 443 and 447
1. What is the LCM of 443 and 447?
Answer: LCM of 443 and 447 is 198021.
2. 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.
3. What are the Factors of 447?
Answer: Factors of 447 are 1, 3, 149, 447. There are 4 integers that are factors of 447. The greatest factor of 447 is 447.
4. How to Find the LCM of 443 and 447?
Answer:
Least Common Multiple of 443 and 447 = 198021
Step 1: Find the prime factorization of 443
443 = 443
Step 2: Find the prime factorization of 447
447 = 3 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 198021 = 3 x 149 x 443
Step 4: Therefore, the least common multiple of 443 and 447 is 198021.
