Least Common Multiple of 10439 and 10441
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10439 and 10441 the smallest integer that is 108993599 that is divisible by both numbers.
Least Common Multiple (LCM) of 10439 and 10441 is 108993599.
LCM(10439,10441) = 108993599
LCM of 10439 and 10441
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10439 and 10441 by Prime method
- Least Common Multiple of 10439 and 10441 with GCF Formula
LCM of 10439 and 10441 is 108993599
Least common multiple can be found by multiplying the highest exponent prime factors of 10439 and 10441. First we will calculate the prime factors of 10439 and 10441.
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
Prime Factorization of 10441
| 53 | 10441 |
| 197 | 197 |
| 1 |
Prime factors of 10441 are 53,197. Prime factorization of 10441 in exponential form is:
10441 = 531×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 10439 and 10441.
LCM(10439,10441) = 111×131×531×731×1971
LCM(10439,10441) = 108993599
Factors of 10439
List of positive integer factors of 10439 that divides 10439 without a remainder.
1, 11, 13, 73, 143, 803, 949, 10439
Factors of 10441
List of positive integer factors of 10441 that divides 10441 without a remainder.
1, 53, 197, 10441
Least Common Multiple of 10439 and 10441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10439 and 10441, than apply into the LCM equation.
GCF(10439,10441) = 1
LCM(10439,10441) = ( 10439 × 10441) / 1
LCM(10439,10441) = 108993599 / 1
LCM(10439,10441) = 108993599
Properties of LCM 10439 and 10441
(i) The LCM of 10441 and 10439 is associative
LCM of 10439 and 10441 = LCM of 10441 and 10439
Related Least Common Multiples of 10439
Related Least Common Multiples of 10441
Frequently Asked Questions on LCM of 10439 and 10441
1. What is the LCM of 10439 and 10441?
Answer: LCM of 10439 and 10441 is 108993599.
2. 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.
3. What are the Factors of 10441?
Answer: Factors of 10441 are 1, 53, 197, 10441. There are 4 integers that are factors of 10441. The greatest factor of 10441 is 10441.
4. How to Find the LCM of 10439 and 10441?
Answer:
Least Common Multiple of 10439 and 10441 = 108993599
Step 1: Find the prime factorization of 10439
10439 = 11 x 13 x 73
Step 2: Find the prime factorization of 10441
10441 = 53 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 108993599 = 11 x 13 x 53 x 73 x 197
Step 4: Therefore, the least common multiple of 10439 and 10441 is 108993599.