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 446 the smallest integer that is 197578 that is divisible by both numbers.
Least Common Multiple (LCM) of 443 and 446 is 197578.
LCM(443,446) = 197578
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 443 and 446. First we will calculate the prime factors of 443 and 446.
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 446
2 | 446 |
223 | 223 |
1 |
Prime factors of 446 are 2,223. Prime factorization of 446 in exponential form is:
446 = 21×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 443 and 446.
LCM(443,446) = 21×2231×4431
LCM(443,446) = 197578
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1, 443
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1, 2, 223, 446
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 443 and 446, than apply into the LCM equation.
GCF(443,446) = 1
LCM(443,446) = ( 443 × 446) / 1
LCM(443,446) = 197578 / 1
LCM(443,446) = 197578
(i) The LCM of 446 and 443 is associative
LCM of 443 and 446 = LCM of 446 and 443
1. What is the LCM of 443 and 446?
Answer: LCM of 443 and 446 is 197578.
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 446?
Answer: Factors of 446 are 1, 2, 223, 446. There are 4 integers that are factors of 446. The greatest factor of 446 is 446.
4. How to Find the LCM of 443 and 446?
Answer:
Least Common Multiple of 443 and 446 = 197578
Step 1: Find the prime factorization of 443
443 = 443
Step 2: Find the prime factorization of 446
446 = 2 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 197578 = 2 x 223 x 443
Step 4: Therefore, the least common multiple of 443 and 446 is 197578.