Least Common Multiple of 25277 and 25281
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 25277 and 25281 the smallest integer that is 639027837 that is divisible by both numbers.
Least Common Multiple (LCM) of 25277 and 25281 is 639027837.
LCM(25277,25281) = 639027837
LCM of 25277 and 25281
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 25277 and 25281 by Prime method
- Least Common Multiple of 25277 and 25281 with GCF Formula
LCM of 25277 and 25281 is 639027837
Least common multiple can be found by multiplying the highest exponent prime factors of 25277 and 25281. First we will calculate the prime factors of 25277 and 25281.
Prime Factorization of 25277
| 7 | 25277 |
| 23 | 3611 |
| 157 | 157 |
| 1 |
Prime factors of 25277 are 7, 23,157. Prime factorization of 25277 in exponential form is:
25277 = 71×231×1571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 25277 and 25281.
LCM(25277,25281) = 32×71×231×532×1571
LCM(25277,25281) = 639027837
Factors of 25277
List of positive integer factors of 25277 that divides 25277 without a remainder.
1, 7, 23, 157, 161, 1099, 3611, 25277
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
Least Common Multiple of 25277 and 25281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25277 and 25281, than apply into the LCM equation.
GCF(25277,25281) = 1
LCM(25277,25281) = ( 25277 × 25281) / 1
LCM(25277,25281) = 639027837 / 1
LCM(25277,25281) = 639027837
Properties of LCM 25277 and 25281
(i) The LCM of 25281 and 25277 is associative
LCM of 25277 and 25281 = LCM of 25281 and 25277
Related Least Common Multiples of 25277
Related Least Common Multiples of 25281
Frequently Asked Questions on LCM of 25277 and 25281
1. What is the LCM of 25277 and 25281?
Answer: LCM of 25277 and 25281 is 639027837.
2. What are the Factors of 25277?
Answer: Factors of 25277 are 1, 7, 23, 157, 161, 1099, 3611, 25277. There are 8 integers that are factors of 25277. The greatest factor of 25277 is 25277.
3. 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.
4. How to Find the LCM of 25277 and 25281?
Answer:
Least Common Multiple of 25277 and 25281 = 639027837
Step 1: Find the prime factorization of 25277
25277 = 7 x 23 x 157
Step 2: Find the prime factorization of 25281
25281 = 3 x 3 x 53 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 639027837 = 3 x 3 x 7 x 23 x 53 x 53 x 157
Step 4: Therefore, the least common multiple of 25277 and 25281 is 639027837.