Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4441 and 4443 the smallest integer that is 19731363 that is divisible by both numbers.
Least Common Multiple (LCM) of 4441 and 4443 is 19731363.
LCM(4441,4443) = 19731363
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 4441 and 4443. First we will calculate the prime factors of 4441 and 4443.
Prime Factorization of 4441
4441 | 4441 |
1 |
Prime factors of 4441 are 4441. Prime factorization of 4441 in exponential form is:
4441 = 44411
Prime Factorization of 4443
3 | 4443 |
1481 | 1481 |
1 |
Prime factors of 4443 are 3,1481. Prime factorization of 4443 in exponential form is:
4443 = 31×14811
Now multiplying the highest exponent prime factors to calculate the LCM of 4441 and 4443.
LCM(4441,4443) = 31×14811×44411
LCM(4441,4443) = 19731363
Factors of 4441
List of positive integer factors of 4441 that divides 4441 without a remainder.
1, 4441
Factors of 4443
List of positive integer factors of 4443 that divides 4443 without a remainder.
1, 3, 1481, 4443
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4441 and 4443, than apply into the LCM equation.
GCF(4441,4443) = 1
LCM(4441,4443) = ( 4441 × 4443) / 1
LCM(4441,4443) = 19731363 / 1
LCM(4441,4443) = 19731363
(i) The LCM of 4443 and 4441 is associative
LCM of 4441 and 4443 = LCM of 4443 and 4441
1. What is the LCM of 4441 and 4443?
Answer: LCM of 4441 and 4443 is 19731363.
2. What are the Factors of 4441?
Answer: Factors of 4441 are 1, 4441. There are 2 integers that are factors of 4441. The greatest factor of 4441 is 4441.
3. What are the Factors of 4443?
Answer: Factors of 4443 are 1, 3, 1481, 4443. There are 4 integers that are factors of 4443. The greatest factor of 4443 is 4443.
4. How to Find the LCM of 4441 and 4443?
Answer:
Least Common Multiple of 4441 and 4443 = 19731363
Step 1: Find the prime factorization of 4441
4441 = 4441
Step 2: Find the prime factorization of 4443
4443 = 3 x 1481
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19731363 = 3 x 1481 x 4441
Step 4: Therefore, the least common multiple of 4441 and 4443 is 19731363.