Least Common Multiple of 10345 and 10349
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10345 and 10349 the smallest integer that is 107060405 that is divisible by both numbers.
Least Common Multiple (LCM) of 10345 and 10349 is 107060405.
LCM(10345,10349) = 107060405
LCM of 10345 and 10349
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10345 and 10349 by Prime method
- Least Common Multiple of 10345 and 10349 with GCF Formula
LCM of 10345 and 10349 is 107060405
Least common multiple can be found by multiplying the highest exponent prime factors of 10345 and 10349. First we will calculate the prime factors of 10345 and 10349.
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
Prime Factorization of 10349
| 79 | 10349 |
| 131 | 131 |
| 1 |
Prime factors of 10349 are 79,131. Prime factorization of 10349 in exponential form is:
10349 = 791×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 10345 and 10349.
LCM(10345,10349) = 51×791×1311×20691
LCM(10345,10349) = 107060405
Factors of 10345
List of positive integer factors of 10345 that divides 10345 without a remainder.
1, 5, 2069, 10345
Factors of 10349
List of positive integer factors of 10349 that divides 10349 without a remainder.
1, 79, 131, 10349
Least Common Multiple of 10345 and 10349 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10345 and 10349, than apply into the LCM equation.
GCF(10345,10349) = 1
LCM(10345,10349) = ( 10345 × 10349) / 1
LCM(10345,10349) = 107060405 / 1
LCM(10345,10349) = 107060405
Properties of LCM 10345 and 10349
(i) The LCM of 10349 and 10345 is associative
LCM of 10345 and 10349 = LCM of 10349 and 10345
Related Least Common Multiples of 10345
Related Least Common Multiples of 10349
Frequently Asked Questions on LCM of 10345 and 10349
1. What is the LCM of 10345 and 10349?
Answer: LCM of 10345 and 10349 is 107060405.
2. 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.
3. What are the Factors of 10349?
Answer: Factors of 10349 are 1, 79, 131, 10349. There are 4 integers that are factors of 10349. The greatest factor of 10349 is 10349.
4. How to Find the LCM of 10345 and 10349?
Answer:
Least Common Multiple of 10345 and 10349 = 107060405
Step 1: Find the prime factorization of 10345
10345 = 5 x 2069
Step 2: Find the prime factorization of 10349
10349 = 79 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 107060405 = 5 x 79 x 131 x 2069
Step 4: Therefore, the least common multiple of 10345 and 10349 is 107060405.