Least Common Multiple of 443 and 449
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 449 the smallest integer that is 198907 that is divisible by both numbers.
Least Common Multiple (LCM) of 443 and 449 is 198907.
LCM(443,449) = 198907
LCM of 443 and 449
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 443 and 449 by Prime method
- Least Common Multiple of 443 and 449 with GCF Formula
LCM of 443 and 449 is 198907
Least common multiple can be found by multiplying the highest exponent prime factors of 443 and 449. First we will calculate the prime factors of 443 and 449.
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 449
| 449 | 449 |
| 1 |
Prime factors of 449 are 449. Prime factorization of 449 in exponential form is:
449 = 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 443 and 449.
LCM(443,449) = 4431×4491
LCM(443,449) = 198907
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1, 443
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1, 449
Least Common Multiple of 443 and 449 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 449, than apply into the LCM equation.
GCF(443,449) = 1
LCM(443,449) = ( 443 × 449) / 1
LCM(443,449) = 198907 / 1
LCM(443,449) = 198907
Properties of LCM 443 and 449
(i) The LCM of 449 and 443 is associative
LCM of 443 and 449 = LCM of 449 and 443
Related Least Common Multiples of 443
Related Least Common Multiples of 449
Frequently Asked Questions on LCM of 443 and 449
1. What is the LCM of 443 and 449?
Answer: LCM of 443 and 449 is 198907.
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 449?
Answer: Factors of 449 are 1, 449. There are 2 integers that are factors of 449. The greatest factor of 449 is 449.
4. How to Find the LCM of 443 and 449?
Answer:
Least Common Multiple of 443 and 449 = 198907
Step 1: Find the prime factorization of 443
443 = 443
Step 2: Find the prime factorization of 449
449 = 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 198907 = 443 x 449
Step 4: Therefore, the least common multiple of 443 and 449 is 198907.
