Least Common Multiple of 10023 and 10031
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10023 and 10031 the smallest integer that is 100540713 that is divisible by both numbers.
Least Common Multiple (LCM) of 10023 and 10031 is 100540713.
LCM(10023,10031) = 100540713
LCM of 10023 and 10031
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10023 and 10031 by Prime method
- Least Common Multiple of 10023 and 10031 with GCF Formula
LCM of 10023 and 10031 is 100540713
Least common multiple can be found by multiplying the highest exponent prime factors of 10023 and 10031. First we will calculate the prime factors of 10023 and 10031.
Prime Factorization of 10023
| 3 | 10023 |
| 13 | 3341 |
| 257 | 257 |
| 1 |
Prime factors of 10023 are 3, 13,257. Prime factorization of 10023 in exponential form is:
10023 = 31×131×2571
Prime Factorization of 10031
| 7 | 10031 |
| 1433 | 1433 |
| 1 |
Prime factors of 10031 are 7,1433. Prime factorization of 10031 in exponential form is:
10031 = 71×14331
Now multiplying the highest exponent prime factors to calculate the LCM of 10023 and 10031.
LCM(10023,10031) = 31×71×131×2571×14331
LCM(10023,10031) = 100540713
Factors of 10023
List of positive integer factors of 10023 that divides 10023 without a remainder.
1, 3, 13, 39, 257, 771, 3341, 10023
Factors of 10031
List of positive integer factors of 10031 that divides 10031 without a remainder.
1, 7, 1433, 10031
Least Common Multiple of 10023 and 10031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10023 and 10031, than apply into the LCM equation.
GCF(10023,10031) = 1
LCM(10023,10031) = ( 10023 × 10031) / 1
LCM(10023,10031) = 100540713 / 1
LCM(10023,10031) = 100540713
Properties of LCM 10023 and 10031
(i) The LCM of 10031 and 10023 is associative
LCM of 10023 and 10031 = LCM of 10031 and 10023
Related Least Common Multiples of 10023
Related Least Common Multiples of 10031
Frequently Asked Questions on LCM of 10023 and 10031
1. What is the LCM of 10023 and 10031?
Answer: LCM of 10023 and 10031 is 100540713.
2. What are the Factors of 10023?
Answer: Factors of 10023 are 1, 3, 13, 39, 257, 771, 3341, 10023. There are 8 integers that are factors of 10023. The greatest factor of 10023 is 10023.
3. What are the Factors of 10031?
Answer: Factors of 10031 are 1, 7, 1433, 10031. There are 4 integers that are factors of 10031. The greatest factor of 10031 is 10031.
4. How to Find the LCM of 10023 and 10031?
Answer:
Least Common Multiple of 10023 and 10031 = 100540713
Step 1: Find the prime factorization of 10023
10023 = 3 x 13 x 257
Step 2: Find the prime factorization of 10031
10031 = 7 x 1433
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100540713 = 3 x 7 x 13 x 257 x 1433
Step 4: Therefore, the least common multiple of 10023 and 10031 is 100540713.