Least Common Multiple of 5271 and 5278
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 5278 the smallest integer that is 3974334 that is divisible by both numbers.
Least Common Multiple (LCM) of 5271 and 5278 is 3974334.
LCM(5271,5278) = 3974334
LCM of 5271 and 5278
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5271 and 5278 by Prime method
- Least Common Multiple of 5271 and 5278 with GCF Formula
LCM of 5271 and 5278 is 3974334
Least common multiple can be found by multiplying the highest exponent prime factors of 5271 and 5278. First we will calculate the prime factors of 5271 and 5278.
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 5278
| 2 | 5278 |
| 7 | 2639 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 5278 are 2, 7, 13,29. Prime factorization of 5278 in exponential form is:
5278 = 21×71×131×291
Now multiplying the highest exponent prime factors to calculate the LCM of 5271 and 5278.
LCM(5271,5278) = 21×31×71×131×291×2511
LCM(5271,5278) = 3974334
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 5278
List of positive integer factors of 5278 that divides 5278 without a remainder.
1, 2, 7, 13, 14, 26, 29, 58, 91, 182, 203, 377, 406, 754, 2639, 5278
Least Common Multiple of 5271 and 5278 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 5278, than apply into the LCM equation.
GCF(5271,5278) = 7
LCM(5271,5278) = ( 5271 × 5278) / 7
LCM(5271,5278) = 27820338 / 7
LCM(5271,5278) = 3974334
Properties of LCM 5271 and 5278
(i) The LCM of 5278 and 5271 is associative
LCM of 5271 and 5278 = LCM of 5278 and 5271
Related Least Common Multiples of 5271
Related Least Common Multiples of 5278
Frequently Asked Questions on LCM of 5271 and 5278
1. What is the LCM of 5271 and 5278?
Answer: LCM of 5271 and 5278 is 3974334.
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 5278?
Answer: Factors of 5278 are 1, 2, 7, 13, 14, 26, 29, 58, 91, 182, 203, 377, 406, 754, 2639, 5278. There are 16 integers that are factors of 5278. The greatest factor of 5278 is 5278.
4. How to Find the LCM of 5271 and 5278?
Answer:
Least Common Multiple of 5271 and 5278 = 3974334
Step 1: Find the prime factorization of 5271
5271 = 3 x 7 x 251
Step 2: Find the prime factorization of 5278
5278 = 2 x 7 x 13 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3974334 = 2 x 3 x 7 x 13 x 29 x 251
Step 4: Therefore, the least common multiple of 5271 and 5278 is 3974334.