Least Common Multiple of 10295 and 10299
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 10299 the smallest integer that is 106028205 that is divisible by both numbers.
Least Common Multiple (LCM) of 10295 and 10299 is 106028205.
LCM(10295,10299) = 106028205
LCM of 10295 and 10299
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10295 and 10299 by Prime method
- Least Common Multiple of 10295 and 10299 with GCF Formula
LCM of 10295 and 10299 is 106028205
Least common multiple can be found by multiplying the highest exponent prime factors of 10295 and 10299. First we will calculate the prime factors of 10295 and 10299.
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 10299
| 3 | 10299 |
| 3433 | 3433 |
| 1 |
Prime factors of 10299 are 3,3433. Prime factorization of 10299 in exponential form is:
10299 = 31×34331
Now multiplying the highest exponent prime factors to calculate the LCM of 10295 and 10299.
LCM(10295,10299) = 31×51×291×711×34331
LCM(10295,10299) = 106028205
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 10299
List of positive integer factors of 10299 that divides 10299 without a remainder.
1, 3, 3433, 10299
Least Common Multiple of 10295 and 10299 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 10299, than apply into the LCM equation.
GCF(10295,10299) = 1
LCM(10295,10299) = ( 10295 × 10299) / 1
LCM(10295,10299) = 106028205 / 1
LCM(10295,10299) = 106028205
Properties of LCM 10295 and 10299
(i) The LCM of 10299 and 10295 is associative
LCM of 10295 and 10299 = LCM of 10299 and 10295
Related Least Common Multiples of 10295
Related Least Common Multiples of 10299
Frequently Asked Questions on LCM of 10295 and 10299
1. What is the LCM of 10295 and 10299?
Answer: LCM of 10295 and 10299 is 106028205.
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 10299?
Answer: Factors of 10299 are 1, 3, 3433, 10299. There are 4 integers that are factors of 10299. The greatest factor of 10299 is 10299.
4. How to Find the LCM of 10295 and 10299?
Answer:
Least Common Multiple of 10295 and 10299 = 106028205
Step 1: Find the prime factorization of 10295
10295 = 5 x 29 x 71
Step 2: Find the prime factorization of 10299
10299 = 3 x 3433
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 106028205 = 3 x 5 x 29 x 71 x 3433
Step 4: Therefore, the least common multiple of 10295 and 10299 is 106028205.