Least Common Multiple of 1271 and 1275
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1271 and 1275 the smallest integer that is 1620525 that is divisible by both numbers.
Least Common Multiple (LCM) of 1271 and 1275 is 1620525.
LCM(1271,1275) = 1620525
LCM of 1271 and 1275
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1271 and 1275 by Prime method
- Least Common Multiple of 1271 and 1275 with GCF Formula
LCM of 1271 and 1275 is 1620525
Least common multiple can be found by multiplying the highest exponent prime factors of 1271 and 1275. First we will calculate the prime factors of 1271 and 1275.
Prime Factorization of 1271
| 31 | 1271 |
| 41 | 41 |
| 1 |
Prime factors of 1271 are 31,41. Prime factorization of 1271 in exponential form is:
1271 = 311×411
Prime Factorization of 1275
| 3 | 1275 |
| 5 | 425 |
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 1275 are 3, 5,17. Prime factorization of 1275 in exponential form is:
1275 = 31×52×171
Now multiplying the highest exponent prime factors to calculate the LCM of 1271 and 1275.
LCM(1271,1275) = 31×52×171×311×411
LCM(1271,1275) = 1620525
Factors of 1271
List of positive integer factors of 1271 that divides 1271 without a remainder.
1, 31, 41, 1271
Factors of 1275
List of positive integer factors of 1275 that divides 1275 without a remainder.
1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275
Least Common Multiple of 1271 and 1275 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1271 and 1275, than apply into the LCM equation.
GCF(1271,1275) = 1
LCM(1271,1275) = ( 1271 × 1275) / 1
LCM(1271,1275) = 1620525 / 1
LCM(1271,1275) = 1620525
Properties of LCM 1271 and 1275
(i) The LCM of 1275 and 1271 is associative
LCM of 1271 and 1275 = LCM of 1275 and 1271
Related Least Common Multiples of 1271
Related Least Common Multiples of 1275
Frequently Asked Questions on LCM of 1271 and 1275
1. What is the LCM of 1271 and 1275?
Answer: LCM of 1271 and 1275 is 1620525.
2. What are the Factors of 1271?
Answer: Factors of 1271 are 1, 31, 41, 1271. There are 4 integers that are factors of 1271. The greatest factor of 1271 is 1271.
3. What are the Factors of 1275?
Answer: Factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275. There are 12 integers that are factors of 1275. The greatest factor of 1275 is 1275.
4. How to Find the LCM of 1271 and 1275?
Answer:
Least Common Multiple of 1271 and 1275 = 1620525
Step 1: Find the prime factorization of 1271
1271 = 31 x 41
Step 2: Find the prime factorization of 1275
1275 = 3 x 5 x 5 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1620525 = 3 x 5 x 5 x 17 x 31 x 41
Step 4: Therefore, the least common multiple of 1271 and 1275 is 1620525.