Least Common Multiple of 10431 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 10431 and 10439 the smallest integer that is 108889209 that is divisible by both numbers.
Least Common Multiple (LCM) of 10431 and 10439 is 108889209.
LCM(10431,10439) = 108889209
LCM of 10431 and 10439
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10431 and 10439 by Prime method
- Least Common Multiple of 10431 and 10439 with GCF Formula
LCM of 10431 and 10439 is 108889209
Least common multiple can be found by multiplying the highest exponent prime factors of 10431 and 10439. First we will calculate the prime factors of 10431 and 10439.
Prime Factorization of 10431
| 3 | 10431 |
| 3 | 3477 |
| 19 | 1159 |
| 61 | 61 |
| 1 |
Prime factors of 10431 are 3, 19,61. Prime factorization of 10431 in exponential form is:
10431 = 32×191×611
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 10431 and 10439.
LCM(10431,10439) = 32×111×131×191×611×731
LCM(10431,10439) = 108889209
Factors of 10431
List of positive integer factors of 10431 that divides 10431 without a remainder.
1, 3, 9, 19, 57, 61, 171, 183, 549, 1159, 3477, 10431
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 10431 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 10431 and 10439, than apply into the LCM equation.
GCF(10431,10439) = 1
LCM(10431,10439) = ( 10431 × 10439) / 1
LCM(10431,10439) = 108889209 / 1
LCM(10431,10439) = 108889209
Properties of LCM 10431 and 10439
(i) The LCM of 10439 and 10431 is associative
LCM of 10431 and 10439 = LCM of 10439 and 10431
Related Least Common Multiples of 10431
Related Least Common Multiples of 10439
Frequently Asked Questions on LCM of 10431 and 10439
1. What is the LCM of 10431 and 10439?
Answer: LCM of 10431 and 10439 is 108889209.
2. What are the Factors of 10431?
Answer: Factors of 10431 are 1, 3, 9, 19, 57, 61, 171, 183, 549, 1159, 3477, 10431. There are 12 integers that are factors of 10431. The greatest factor of 10431 is 10431.
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 10431 and 10439?
Answer:
Least Common Multiple of 10431 and 10439 = 108889209
Step 1: Find the prime factorization of 10431
10431 = 3 x 3 x 19 x 61
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 = 108889209 = 3 x 3 x 11 x 13 x 19 x 61 x 73
Step 4: Therefore, the least common multiple of 10431 and 10439 is 108889209.