Least Common Multiple of 25271 and 25277
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 25271 and 25277 the smallest integer that is 638775067 that is divisible by both numbers.
Least Common Multiple (LCM) of 25271 and 25277 is 638775067.
LCM(25271,25277) = 638775067
LCM of 25271 and 25277
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 25271 and 25277 by Prime method
- Least Common Multiple of 25271 and 25277 with GCF Formula
LCM of 25271 and 25277 is 638775067
Least common multiple can be found by multiplying the highest exponent prime factors of 25271 and 25277. First we will calculate the prime factors of 25271 and 25277.
Prime Factorization of 25271
| 37 | 25271 |
| 683 | 683 |
| 1 |
Prime factors of 25271 are 37,683. Prime factorization of 25271 in exponential form is:
25271 = 371×6831
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
Now multiplying the highest exponent prime factors to calculate the LCM of 25271 and 25277.
LCM(25271,25277) = 71×231×371×1571×6831
LCM(25271,25277) = 638775067
Factors of 25271
List of positive integer factors of 25271 that divides 25271 without a remainder.
1, 37, 683, 25271
Factors of 25277
List of positive integer factors of 25277 that divides 25277 without a remainder.
1, 7, 23, 157, 161, 1099, 3611, 25277
Least Common Multiple of 25271 and 25277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25271 and 25277, than apply into the LCM equation.
GCF(25271,25277) = 1
LCM(25271,25277) = ( 25271 × 25277) / 1
LCM(25271,25277) = 638775067 / 1
LCM(25271,25277) = 638775067
Properties of LCM 25271 and 25277
(i) The LCM of 25277 and 25271 is associative
LCM of 25271 and 25277 = LCM of 25277 and 25271
Related Least Common Multiples of 25271
Related Least Common Multiples of 25277
Frequently Asked Questions on LCM of 25271 and 25277
1. What is the LCM of 25271 and 25277?
Answer: LCM of 25271 and 25277 is 638775067.
2. What are the Factors of 25271?
Answer: Factors of 25271 are 1, 37, 683, 25271. There are 4 integers that are factors of 25271. The greatest factor of 25271 is 25271.
3. 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.
4. How to Find the LCM of 25271 and 25277?
Answer:
Least Common Multiple of 25271 and 25277 = 638775067
Step 1: Find the prime factorization of 25271
25271 = 37 x 683
Step 2: Find the prime factorization of 25277
25277 = 7 x 23 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 638775067 = 7 x 23 x 37 x 157 x 683
Step 4: Therefore, the least common multiple of 25271 and 25277 is 638775067.