Least Common Multiple of 25289 and 25295
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 25289 and 25295 the smallest integer that is 639685255 that is divisible by both numbers.
Least Common Multiple (LCM) of 25289 and 25295 is 639685255.
LCM(25289,25295) = 639685255
LCM of 25289 and 25295
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 25289 and 25295 by Prime method
- Least Common Multiple of 25289 and 25295 with GCF Formula
LCM of 25289 and 25295 is 639685255
Least common multiple can be found by multiplying the highest exponent prime factors of 25289 and 25295. First we will calculate the prime factors of 25289 and 25295.
Prime Factorization of 25289
| 11 | 25289 |
| 11 | 2299 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 25289 are 11,19. Prime factorization of 25289 in exponential form is:
25289 = 113×191
Prime Factorization of 25295
| 5 | 25295 |
| 5059 | 5059 |
| 1 |
Prime factors of 25295 are 5,5059. Prime factorization of 25295 in exponential form is:
25295 = 51×50591
Now multiplying the highest exponent prime factors to calculate the LCM of 25289 and 25295.
LCM(25289,25295) = 51×113×191×50591
LCM(25289,25295) = 639685255
Factors of 25289
List of positive integer factors of 25289 that divides 25289 without a remainder.
1, 11, 19, 121, 209, 1331, 2299, 25289
Factors of 25295
List of positive integer factors of 25295 that divides 25295 without a remainder.
1, 5, 5059, 25295
Least Common Multiple of 25289 and 25295 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25289 and 25295, than apply into the LCM equation.
GCF(25289,25295) = 1
LCM(25289,25295) = ( 25289 × 25295) / 1
LCM(25289,25295) = 639685255 / 1
LCM(25289,25295) = 639685255
Properties of LCM 25289 and 25295
(i) The LCM of 25295 and 25289 is associative
LCM of 25289 and 25295 = LCM of 25295 and 25289
Related Least Common Multiples of 25289
Related Least Common Multiples of 25295
Frequently Asked Questions on LCM of 25289 and 25295
1. What is the LCM of 25289 and 25295?
Answer: LCM of 25289 and 25295 is 639685255.
2. What are the Factors of 25289?
Answer: Factors of 25289 are 1, 11, 19, 121, 209, 1331, 2299, 25289. There are 8 integers that are factors of 25289. The greatest factor of 25289 is 25289.
3. What are the Factors of 25295?
Answer: Factors of 25295 are 1, 5, 5059, 25295. There are 4 integers that are factors of 25295. The greatest factor of 25295 is 25295.
4. How to Find the LCM of 25289 and 25295?
Answer:
Least Common Multiple of 25289 and 25295 = 639685255
Step 1: Find the prime factorization of 25289
25289 = 11 x 11 x 11 x 19
Step 2: Find the prime factorization of 25295
25295 = 5 x 5059
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 639685255 = 5 x 11 x 11 x 11 x 19 x 5059
Step 4: Therefore, the least common multiple of 25289 and 25295 is 639685255.