Least Common Multiple of 5271 and 5275
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5271 and 5275 the smallest integer that is 27804525 that is divisible by both numbers.
Least Common Multiple (LCM) of 5271 and 5275 is 27804525.
LCM(5271,5275) = 27804525
LCM of 5271 and 5275
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5271 and 5275 by Prime method
- Least Common Multiple of 5271 and 5275 with GCF Formula
LCM of 5271 and 5275 is 27804525
Least common multiple can be found by multiplying the highest exponent prime factors of 5271 and 5275. First we will calculate the prime factors of 5271 and 5275.
Prime Factorization of 5271
| 3 | 5271 |
| 7 | 1757 |
| 251 | 251 |
| 1 |
Prime factors of 5271 are 3, 7,251. Prime factorization of 5271 in exponential form is:
5271 = 31×71×2511
Prime Factorization of 5275
| 5 | 5275 |
| 5 | 1055 |
| 211 | 211 |
| 1 |
Prime factors of 5275 are 5,211. Prime factorization of 5275 in exponential form is:
5275 = 52×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 5271 and 5275.
LCM(5271,5275) = 31×52×71×2111×2511
LCM(5271,5275) = 27804525
Factors of 5271
List of positive integer factors of 5271 that divides 5271 without a remainder.
1, 3, 7, 21, 251, 753, 1757, 5271
Factors of 5275
List of positive integer factors of 5275 that divides 5275 without a remainder.
1, 5, 25, 211, 1055, 5275
Least Common Multiple of 5271 and 5275 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5271 and 5275, than apply into the LCM equation.
GCF(5271,5275) = 1
LCM(5271,5275) = ( 5271 × 5275) / 1
LCM(5271,5275) = 27804525 / 1
LCM(5271,5275) = 27804525
Properties of LCM 5271 and 5275
(i) The LCM of 5275 and 5271 is associative
LCM of 5271 and 5275 = LCM of 5275 and 5271
Related Least Common Multiples of 5271
Related Least Common Multiples of 5275
Frequently Asked Questions on LCM of 5271 and 5275
1. What is the LCM of 5271 and 5275?
Answer: LCM of 5271 and 5275 is 27804525.
2. What are the Factors of 5271?
Answer: Factors of 5271 are 1, 3, 7, 21, 251, 753, 1757, 5271. There are 8 integers that are factors of 5271. The greatest factor of 5271 is 5271.
3. What are the Factors of 5275?
Answer: Factors of 5275 are 1, 5, 25, 211, 1055, 5275. There are 6 integers that are factors of 5275. The greatest factor of 5275 is 5275.
4. How to Find the LCM of 5271 and 5275?
Answer:
Least Common Multiple of 5271 and 5275 = 27804525
Step 1: Find the prime factorization of 5271
5271 = 3 x 7 x 251
Step 2: Find the prime factorization of 5275
5275 = 5 x 5 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27804525 = 3 x 5 x 5 x 7 x 211 x 251
Step 4: Therefore, the least common multiple of 5271 and 5275 is 27804525.