Least Common Multiple of 5255 and 5263
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5255 and 5263 the smallest integer that is 27657065 that is divisible by both numbers.
Least Common Multiple (LCM) of 5255 and 5263 is 27657065.
LCM(5255,5263) = 27657065
LCM of 5255 and 5263
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5255 and 5263 by Prime method
- Least Common Multiple of 5255 and 5263 with GCF Formula
LCM of 5255 and 5263 is 27657065
Least common multiple can be found by multiplying the highest exponent prime factors of 5255 and 5263. First we will calculate the prime factors of 5255 and 5263.
Prime Factorization of 5255
| 5 | 5255 |
| 1051 | 1051 |
| 1 |
Prime factors of 5255 are 5,1051. Prime factorization of 5255 in exponential form is:
5255 = 51×10511
Prime Factorization of 5263
| 19 | 5263 |
| 277 | 277 |
| 1 |
Prime factors of 5263 are 19,277. Prime factorization of 5263 in exponential form is:
5263 = 191×2771
Now multiplying the highest exponent prime factors to calculate the LCM of 5255 and 5263.
LCM(5255,5263) = 51×191×2771×10511
LCM(5255,5263) = 27657065
Factors of 5255
List of positive integer factors of 5255 that divides 5255 without a remainder.
1, 5, 1051, 5255
Factors of 5263
List of positive integer factors of 5263 that divides 5263 without a remainder.
1, 19, 277, 5263
Least Common Multiple of 5255 and 5263 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5255 and 5263, than apply into the LCM equation.
GCF(5255,5263) = 1
LCM(5255,5263) = ( 5255 × 5263) / 1
LCM(5255,5263) = 27657065 / 1
LCM(5255,5263) = 27657065
Properties of LCM 5255 and 5263
(i) The LCM of 5263 and 5255 is associative
LCM of 5255 and 5263 = LCM of 5263 and 5255
Related Least Common Multiples of 5255
Related Least Common Multiples of 5263
Frequently Asked Questions on LCM of 5255 and 5263
1. What is the LCM of 5255 and 5263?
Answer: LCM of 5255 and 5263 is 27657065.
2. What are the Factors of 5255?
Answer: Factors of 5255 are 1, 5, 1051, 5255. There are 4 integers that are factors of 5255. The greatest factor of 5255 is 5255.
3. What are the Factors of 5263?
Answer: Factors of 5263 are 1, 19, 277, 5263. There are 4 integers that are factors of 5263. The greatest factor of 5263 is 5263.
4. How to Find the LCM of 5255 and 5263?
Answer:
Least Common Multiple of 5255 and 5263 = 27657065
Step 1: Find the prime factorization of 5255
5255 = 5 x 1051
Step 2: Find the prime factorization of 5263
5263 = 19 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27657065 = 5 x 19 x 277 x 1051
Step 4: Therefore, the least common multiple of 5255 and 5263 is 27657065.