Least Common Multiple of 4431 and 4439
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4431 and 4439 the smallest integer that is 19669209 that is divisible by both numbers.
Least Common Multiple (LCM) of 4431 and 4439 is 19669209.
LCM(4431,4439) = 19669209
LCM of 4431 and 4439
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4431 and 4439 by Prime method
- Least Common Multiple of 4431 and 4439 with GCF Formula
LCM of 4431 and 4439 is 19669209
Least common multiple can be found by multiplying the highest exponent prime factors of 4431 and 4439. First we will calculate the prime factors of 4431 and 4439.
Prime Factorization of 4431
| 3 | 4431 |
| 7 | 1477 |
| 211 | 211 |
| 1 |
Prime factors of 4431 are 3, 7,211. Prime factorization of 4431 in exponential form is:
4431 = 31×71×2111
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4431 and 4439.
LCM(4431,4439) = 31×71×231×1931×2111
LCM(4431,4439) = 19669209
Factors of 4431
List of positive integer factors of 4431 that divides 4431 without a remainder.
1, 3, 7, 21, 211, 633, 1477, 4431
Factors of 4439
List of positive integer factors of 4439 that divides 4439 without a remainder.
1, 23, 193, 4439
Least Common Multiple of 4431 and 4439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4431 and 4439, than apply into the LCM equation.
GCF(4431,4439) = 1
LCM(4431,4439) = ( 4431 × 4439) / 1
LCM(4431,4439) = 19669209 / 1
LCM(4431,4439) = 19669209
Properties of LCM 4431 and 4439
(i) The LCM of 4439 and 4431 is associative
LCM of 4431 and 4439 = LCM of 4439 and 4431
Related Least Common Multiples of 4431
Related Least Common Multiples of 4439
Frequently Asked Questions on LCM of 4431 and 4439
1. What is the LCM of 4431 and 4439?
Answer: LCM of 4431 and 4439 is 19669209.
2. What are the Factors of 4431?
Answer: Factors of 4431 are 1, 3, 7, 21, 211, 633, 1477, 4431. There are 8 integers that are factors of 4431. The greatest factor of 4431 is 4431.
3. 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.
4. How to Find the LCM of 4431 and 4439?
Answer:
Least Common Multiple of 4431 and 4439 = 19669209
Step 1: Find the prime factorization of 4431
4431 = 3 x 7 x 211
Step 2: Find the prime factorization of 4439
4439 = 23 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19669209 = 3 x 7 x 23 x 193 x 211
Step 4: Therefore, the least common multiple of 4431 and 4439 is 19669209.