Least Common Multiple of 10289 and 10295
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10289 and 10295 the smallest integer that is 105925255 that is divisible by both numbers.
Least Common Multiple (LCM) of 10289 and 10295 is 105925255.
LCM(10289,10295) = 105925255
LCM of 10289 and 10295
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10289 and 10295 by Prime method
- Least Common Multiple of 10289 and 10295 with GCF Formula
LCM of 10289 and 10295 is 105925255
Least common multiple can be found by multiplying the highest exponent prime factors of 10289 and 10295. First we will calculate the prime factors of 10289 and 10295.
Prime Factorization of 10289
| 10289 | 10289 |
| 1 |
Prime factors of 10289 are 10289. Prime factorization of 10289 in exponential form is:
10289 = 102891
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
Now multiplying the highest exponent prime factors to calculate the LCM of 10289 and 10295.
LCM(10289,10295) = 51×291×711×102891
LCM(10289,10295) = 105925255
Factors of 10289
List of positive integer factors of 10289 that divides 10289 without a remainder.
1, 10289
Factors of 10295
List of positive integer factors of 10295 that divides 10295 without a remainder.
1, 5, 29, 71, 145, 355, 2059, 10295
Least Common Multiple of 10289 and 10295 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10289 and 10295, than apply into the LCM equation.
GCF(10289,10295) = 1
LCM(10289,10295) = ( 10289 × 10295) / 1
LCM(10289,10295) = 105925255 / 1
LCM(10289,10295) = 105925255
Properties of LCM 10289 and 10295
(i) The LCM of 10295 and 10289 is associative
LCM of 10289 and 10295 = LCM of 10295 and 10289
Related Least Common Multiples of 10289
Related Least Common Multiples of 10295
Frequently Asked Questions on LCM of 10289 and 10295
1. What is the LCM of 10289 and 10295?
Answer: LCM of 10289 and 10295 is 105925255.
2. What are the Factors of 10289?
Answer: Factors of 10289 are 1, 10289. There are 2 integers that are factors of 10289. The greatest factor of 10289 is 10289.
3. 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.
4. How to Find the LCM of 10289 and 10295?
Answer:
Least Common Multiple of 10289 and 10295 = 105925255
Step 1: Find the prime factorization of 10289
10289 = 10289
Step 2: Find the prime factorization of 10295
10295 = 5 x 29 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 105925255 = 5 x 29 x 71 x 10289
Step 4: Therefore, the least common multiple of 10289 and 10295 is 105925255.