Least Common Multiple of 5270 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 5270 and 5275 the smallest integer that is 5559850 that is divisible by both numbers.
Least Common Multiple (LCM) of 5270 and 5275 is 5559850.
LCM(5270,5275) = 5559850
LCM of 5270 and 5275
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5270 and 5275 by Prime method
- Least Common Multiple of 5270 and 5275 with GCF Formula
LCM of 5270 and 5275 is 5559850
Least common multiple can be found by multiplying the highest exponent prime factors of 5270 and 5275. First we will calculate the prime factors of 5270 and 5275.
Prime Factorization of 5270
| 2 | 5270 |
| 5 | 2635 |
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 5270 are 2, 5, 17,31. Prime factorization of 5270 in exponential form is:
5270 = 21×51×171×311
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 5270 and 5275.
LCM(5270,5275) = 21×52×171×311×2111
LCM(5270,5275) = 5559850
Factors of 5270
List of positive integer factors of 5270 that divides 5270 without a remainder.
1, 2, 5, 10, 17, 31, 34, 62, 85, 155, 170, 310, 527, 1054, 2635, 5270
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 5270 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 5270 and 5275, than apply into the LCM equation.
GCF(5270,5275) = 5
LCM(5270,5275) = ( 5270 × 5275) / 5
LCM(5270,5275) = 27799250 / 5
LCM(5270,5275) = 5559850
Properties of LCM 5270 and 5275
(i) The LCM of 5275 and 5270 is associative
LCM of 5270 and 5275 = LCM of 5275 and 5270
Related Least Common Multiples of 5270
Related Least Common Multiples of 5275
Frequently Asked Questions on LCM of 5270 and 5275
1. What is the LCM of 5270 and 5275?
Answer: LCM of 5270 and 5275 is 5559850.
2. What are the Factors of 5270?
Answer: Factors of 5270 are 1, 2, 5, 10, 17, 31, 34, 62, 85, 155, 170, 310, 527, 1054, 2635, 5270. There are 16 integers that are factors of 5270. The greatest factor of 5270 is 5270.
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 5270 and 5275?
Answer:
Least Common Multiple of 5270 and 5275 = 5559850
Step 1: Find the prime factorization of 5270
5270 = 2 x 5 x 17 x 31
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 = 5559850 = 2 x 5 x 5 x 17 x 31 x 211
Step 4: Therefore, the least common multiple of 5270 and 5275 is 5559850.