Least Common Multiple of 10433 and 10439
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10433 and 10439 the smallest integer that is 108910087 that is divisible by both numbers.
Least Common Multiple (LCM) of 10433 and 10439 is 108910087.
LCM(10433,10439) = 108910087
LCM of 10433 and 10439
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10433 and 10439 by Prime method
- Least Common Multiple of 10433 and 10439 with GCF Formula
LCM of 10433 and 10439 is 108910087
Least common multiple can be found by multiplying the highest exponent prime factors of 10433 and 10439. First we will calculate the prime factors of 10433 and 10439.
Prime Factorization of 10433
| 10433 | 10433 |
| 1 |
Prime factors of 10433 are 10433. Prime factorization of 10433 in exponential form is:
10433 = 104331
Prime Factorization of 10439
| 11 | 10439 |
| 13 | 949 |
| 73 | 73 |
| 1 |
Prime factors of 10439 are 11, 13,73. Prime factorization of 10439 in exponential form is:
10439 = 111×131×731
Now multiplying the highest exponent prime factors to calculate the LCM of 10433 and 10439.
LCM(10433,10439) = 111×131×731×104331
LCM(10433,10439) = 108910087
Factors of 10433
List of positive integer factors of 10433 that divides 10433 without a remainder.
1, 10433
Factors of 10439
List of positive integer factors of 10439 that divides 10439 without a remainder.
1, 11, 13, 73, 143, 803, 949, 10439
Least Common Multiple of 10433 and 10439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10433 and 10439, than apply into the LCM equation.
GCF(10433,10439) = 1
LCM(10433,10439) = ( 10433 × 10439) / 1
LCM(10433,10439) = 108910087 / 1
LCM(10433,10439) = 108910087
Properties of LCM 10433 and 10439
(i) The LCM of 10439 and 10433 is associative
LCM of 10433 and 10439 = LCM of 10439 and 10433
Related Least Common Multiples of 10433
Related Least Common Multiples of 10439
Frequently Asked Questions on LCM of 10433 and 10439
1. What is the LCM of 10433 and 10439?
Answer: LCM of 10433 and 10439 is 108910087.
2. What are the Factors of 10433?
Answer: Factors of 10433 are 1, 10433. There are 2 integers that are factors of 10433. The greatest factor of 10433 is 10433.
3. What are the Factors of 10439?
Answer: Factors of 10439 are 1, 11, 13, 73, 143, 803, 949, 10439. There are 8 integers that are factors of 10439. The greatest factor of 10439 is 10439.
4. How to Find the LCM of 10433 and 10439?
Answer:
Least Common Multiple of 10433 and 10439 = 108910087
Step 1: Find the prime factorization of 10433
10433 = 10433
Step 2: Find the prime factorization of 10439
10439 = 11 x 13 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 108910087 = 11 x 13 x 73 x 10433
Step 4: Therefore, the least common multiple of 10433 and 10439 is 108910087.