Least Common Multiple of 25281 and 25289
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 25281 and 25289 the smallest integer that is 639331209 that is divisible by both numbers.
Least Common Multiple (LCM) of 25281 and 25289 is 639331209.
LCM(25281,25289) = 639331209
LCM of 25281 and 25289
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 25281 and 25289 by Prime method
- Least Common Multiple of 25281 and 25289 with GCF Formula
LCM of 25281 and 25289 is 639331209
Least common multiple can be found by multiplying the highest exponent prime factors of 25281 and 25289. First we will calculate the prime factors of 25281 and 25289.
Prime Factorization of 25281
| 3 | 25281 |
| 3 | 8427 |
| 53 | 2809 |
| 53 | 53 |
| 1 |
Prime factors of 25281 are 3,53. Prime factorization of 25281 in exponential form is:
25281 = 32×532
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
Now multiplying the highest exponent prime factors to calculate the LCM of 25281 and 25289.
LCM(25281,25289) = 32×113×191×532
LCM(25281,25289) = 639331209
Factors of 25281
List of positive integer factors of 25281 that divides 25281 without a remainder.
1, 3, 9, 53, 159, 477, 2809, 8427, 25281
Factors of 25289
List of positive integer factors of 25289 that divides 25289 without a remainder.
1, 11, 19, 121, 209, 1331, 2299, 25289
Least Common Multiple of 25281 and 25289 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25281 and 25289, than apply into the LCM equation.
GCF(25281,25289) = 1
LCM(25281,25289) = ( 25281 × 25289) / 1
LCM(25281,25289) = 639331209 / 1
LCM(25281,25289) = 639331209
Properties of LCM 25281 and 25289
(i) The LCM of 25289 and 25281 is associative
LCM of 25281 and 25289 = LCM of 25289 and 25281
Related Least Common Multiples of 25281
Related Least Common Multiples of 25289
Frequently Asked Questions on LCM of 25281 and 25289
1. What is the LCM of 25281 and 25289?
Answer: LCM of 25281 and 25289 is 639331209.
2. What are the Factors of 25281?
Answer: Factors of 25281 are 1, 3, 9, 53, 159, 477, 2809, 8427, 25281. There are 9 integers that are factors of 25281. The greatest factor of 25281 is 25281.
3. 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.
4. How to Find the LCM of 25281 and 25289?
Answer:
Least Common Multiple of 25281 and 25289 = 639331209
Step 1: Find the prime factorization of 25281
25281 = 3 x 3 x 53 x 53
Step 2: Find the prime factorization of 25289
25289 = 11 x 11 x 11 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 639331209 = 3 x 3 x 11 x 11 x 11 x 19 x 53 x 53
Step 4: Therefore, the least common multiple of 25281 and 25289 is 639331209.