Least Common Multiple of 10295 and 10303
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10295 and 10303 the smallest integer that is 106069385 that is divisible by both numbers.
Least Common Multiple (LCM) of 10295 and 10303 is 106069385.
LCM(10295,10303) = 106069385
LCM of 10295 and 10303
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10295 and 10303 by Prime method
- Least Common Multiple of 10295 and 10303 with GCF Formula
LCM of 10295 and 10303 is 106069385
Least common multiple can be found by multiplying the highest exponent prime factors of 10295 and 10303. First we will calculate the prime factors of 10295 and 10303.
Prime Factorization of 10295
| 5 | 10295 |
| 29 | 2059 |
| 71 | 71 |
| 1 |
Prime factors of 10295 are 5, 29,71. Prime factorization of 10295 in exponential form is:
10295 = 51×291×711
Prime Factorization of 10303
| 10303 | 10303 |
| 1 |
Prime factors of 10303 are 10303. Prime factorization of 10303 in exponential form is:
10303 = 103031
Now multiplying the highest exponent prime factors to calculate the LCM of 10295 and 10303.
LCM(10295,10303) = 51×291×711×103031
LCM(10295,10303) = 106069385
Factors of 10295
List of positive integer factors of 10295 that divides 10295 without a remainder.
1, 5, 29, 71, 145, 355, 2059, 10295
Factors of 10303
List of positive integer factors of 10303 that divides 10303 without a remainder.
1, 10303
Least Common Multiple of 10295 and 10303 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10295 and 10303, than apply into the LCM equation.
GCF(10295,10303) = 1
LCM(10295,10303) = ( 10295 × 10303) / 1
LCM(10295,10303) = 106069385 / 1
LCM(10295,10303) = 106069385
Properties of LCM 10295 and 10303
(i) The LCM of 10303 and 10295 is associative
LCM of 10295 and 10303 = LCM of 10303 and 10295
Related Least Common Multiples of 10295
Related Least Common Multiples of 10303
Frequently Asked Questions on LCM of 10295 and 10303
1. What is the LCM of 10295 and 10303?
Answer: LCM of 10295 and 10303 is 106069385.
2. What are the Factors of 10295?
Answer: Factors of 10295 are 1, 5, 29, 71, 145, 355, 2059, 10295. There are 8 integers that are factors of 10295. The greatest factor of 10295 is 10295.
3. What are the Factors of 10303?
Answer: Factors of 10303 are 1, 10303. There are 2 integers that are factors of 10303. The greatest factor of 10303 is 10303.
4. How to Find the LCM of 10295 and 10303?
Answer:
Least Common Multiple of 10295 and 10303 = 106069385
Step 1: Find the prime factorization of 10295
10295 = 5 x 29 x 71
Step 2: Find the prime factorization of 10303
10303 = 10303
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 106069385 = 5 x 29 x 71 x 10303
Step 4: Therefore, the least common multiple of 10295 and 10303 is 106069385.