Least Common Multiple of 5258 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 5258 and 5263 the smallest integer that is 27672854 that is divisible by both numbers.
Least Common Multiple (LCM) of 5258 and 5263 is 27672854.
LCM(5258,5263) = 27672854
LCM of 5258 and 5263
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5258 and 5263 by Prime method
- Least Common Multiple of 5258 and 5263 with GCF Formula
LCM of 5258 and 5263 is 27672854
Least common multiple can be found by multiplying the highest exponent prime factors of 5258 and 5263. First we will calculate the prime factors of 5258 and 5263.
Prime Factorization of 5258
| 2 | 5258 |
| 11 | 2629 |
| 239 | 239 |
| 1 |
Prime factors of 5258 are 2, 11,239. Prime factorization of 5258 in exponential form is:
5258 = 21×111×2391
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 5258 and 5263.
LCM(5258,5263) = 21×111×191×2391×2771
LCM(5258,5263) = 27672854
Factors of 5258
List of positive integer factors of 5258 that divides 5258 without a remainder.
1, 2, 11, 22, 239, 478, 2629, 5258
Factors of 5263
List of positive integer factors of 5263 that divides 5263 without a remainder.
1, 19, 277, 5263
Least Common Multiple of 5258 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 5258 and 5263, than apply into the LCM equation.
GCF(5258,5263) = 1
LCM(5258,5263) = ( 5258 × 5263) / 1
LCM(5258,5263) = 27672854 / 1
LCM(5258,5263) = 27672854
Properties of LCM 5258 and 5263
(i) The LCM of 5263 and 5258 is associative
LCM of 5258 and 5263 = LCM of 5263 and 5258
Related Least Common Multiples of 5258
Related Least Common Multiples of 5263
Frequently Asked Questions on LCM of 5258 and 5263
1. What is the LCM of 5258 and 5263?
Answer: LCM of 5258 and 5263 is 27672854.
2. What are the Factors of 5258?
Answer: Factors of 5258 are 1, 2, 11, 22, 239, 478, 2629, 5258. There are 8 integers that are factors of 5258. The greatest factor of 5258 is 5258.
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 5258 and 5263?
Answer:
Least Common Multiple of 5258 and 5263 = 27672854
Step 1: Find the prime factorization of 5258
5258 = 2 x 11 x 239
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 = 27672854 = 2 x 11 x 19 x 239 x 277
Step 4: Therefore, the least common multiple of 5258 and 5263 is 27672854.