Least Common Multiple of 10340 and 10345
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10340 and 10345 the smallest integer that is 21393460 that is divisible by both numbers.
Least Common Multiple (LCM) of 10340 and 10345 is 21393460.
LCM(10340,10345) = 21393460
LCM of 10340 and 10345
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10340 and 10345 by Prime method
- Least Common Multiple of 10340 and 10345 with GCF Formula
LCM of 10340 and 10345 is 21393460
Least common multiple can be found by multiplying the highest exponent prime factors of 10340 and 10345. First we will calculate the prime factors of 10340 and 10345.
Prime Factorization of 10340
| 2 | 10340 |
| 2 | 5170 |
| 5 | 2585 |
| 11 | 517 |
| 47 | 47 |
| 1 |
Prime factors of 10340 are 2, 5, 11,47. Prime factorization of 10340 in exponential form is:
10340 = 22×51×111×471
Prime Factorization of 10345
| 5 | 10345 |
| 2069 | 2069 |
| 1 |
Prime factors of 10345 are 5,2069. Prime factorization of 10345 in exponential form is:
10345 = 51×20691
Now multiplying the highest exponent prime factors to calculate the LCM of 10340 and 10345.
LCM(10340,10345) = 22×51×111×471×20691
LCM(10340,10345) = 21393460
Factors of 10340
List of positive integer factors of 10340 that divides 10340 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 47, 55, 94, 110, 188, 220, 235, 470, 517, 940, 1034, 2068, 2585, 5170, 10340
Factors of 10345
List of positive integer factors of 10345 that divides 10345 without a remainder.
1, 5, 2069, 10345
Least Common Multiple of 10340 and 10345 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10340 and 10345, than apply into the LCM equation.
GCF(10340,10345) = 5
LCM(10340,10345) = ( 10340 × 10345) / 5
LCM(10340,10345) = 106967300 / 5
LCM(10340,10345) = 21393460
Properties of LCM 10340 and 10345
(i) The LCM of 10345 and 10340 is associative
LCM of 10340 and 10345 = LCM of 10345 and 10340
Related Least Common Multiples of 10340
Related Least Common Multiples of 10345
Frequently Asked Questions on LCM of 10340 and 10345
1. What is the LCM of 10340 and 10345?
Answer: LCM of 10340 and 10345 is 21393460.
2. What are the Factors of 10340?
Answer: Factors of 10340 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 47, 55, 94, 110, 188, 220, 235, 470, 517, 940, 1034, 2068, 2585, 5170, 10340. There are 24 integers that are factors of 10340. The greatest factor of 10340 is 10340.
3. What are the Factors of 10345?
Answer: Factors of 10345 are 1, 5, 2069, 10345. There are 4 integers that are factors of 10345. The greatest factor of 10345 is 10345.
4. How to Find the LCM of 10340 and 10345?
Answer:
Least Common Multiple of 10340 and 10345 = 21393460
Step 1: Find the prime factorization of 10340
10340 = 2 x 2 x 5 x 11 x 47
Step 2: Find the prime factorization of 10345
10345 = 5 x 2069
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21393460 = 2 x 2 x 5 x 11 x 47 x 2069
Step 4: Therefore, the least common multiple of 10340 and 10345 is 21393460.