Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4439 and 4443 the smallest integer that is 19722477 that is divisible by both numbers.
Least Common Multiple (LCM) of 4439 and 4443 is 19722477.
LCM(4439,4443) = 19722477
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 4439 and 4443. First we will calculate the prime factors of 4439 and 4443.
Prime Factorization of 4439
23 | 4439 |
193 | 193 |
1 |
Prime factors of 4439 are 23,193. Prime factorization of 4439 in exponential form is:
4439 = 231×1931
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 4439 and 4443.
LCM(4439,4443) = 31×231×1931×14811
LCM(4439,4443) = 19722477
Factors of 4439
List of positive integer factors of 4439 that divides 4439 without a remainder.
1, 23, 193, 4439
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 4439 and 4443, than apply into the LCM equation.
GCF(4439,4443) = 1
LCM(4439,4443) = ( 4439 × 4443) / 1
LCM(4439,4443) = 19722477 / 1
LCM(4439,4443) = 19722477
(i) The LCM of 4443 and 4439 is associative
LCM of 4439 and 4443 = LCM of 4443 and 4439
1. What is the LCM of 4439 and 4443?
Answer: LCM of 4439 and 4443 is 19722477.
2. What are the Factors of 4439?
Answer: Factors of 4439 are 1, 23, 193, 4439. There are 4 integers that are factors of 4439. The greatest factor of 4439 is 4439.
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 4439 and 4443?
Answer:
Least Common Multiple of 4439 and 4443 = 19722477
Step 1: Find the prime factorization of 4439
4439 = 23 x 193
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 = 19722477 = 3 x 23 x 193 x 1481
Step 4: Therefore, the least common multiple of 4439 and 4443 is 19722477.