Least Common Multiple of 5263 and 5267
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5263 and 5267 the smallest integer that is 27720221 that is divisible by both numbers.
Least Common Multiple (LCM) of 5263 and 5267 is 27720221.
LCM(5263,5267) = 27720221
LCM of 5263 and 5267
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5263 and 5267 by Prime method
- Least Common Multiple of 5263 and 5267 with GCF Formula
LCM of 5263 and 5267 is 27720221
Least common multiple can be found by multiplying the highest exponent prime factors of 5263 and 5267. First we will calculate the prime factors of 5263 and 5267.
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
Prime Factorization of 5267
| 23 | 5267 |
| 229 | 229 |
| 1 |
Prime factors of 5267 are 23,229. Prime factorization of 5267 in exponential form is:
5267 = 231×2291
Now multiplying the highest exponent prime factors to calculate the LCM of 5263 and 5267.
LCM(5263,5267) = 191×231×2291×2771
LCM(5263,5267) = 27720221
Factors of 5263
List of positive integer factors of 5263 that divides 5263 without a remainder.
1, 19, 277, 5263
Factors of 5267
List of positive integer factors of 5267 that divides 5267 without a remainder.
1, 23, 229, 5267
Least Common Multiple of 5263 and 5267 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5263 and 5267, than apply into the LCM equation.
GCF(5263,5267) = 1
LCM(5263,5267) = ( 5263 × 5267) / 1
LCM(5263,5267) = 27720221 / 1
LCM(5263,5267) = 27720221
Properties of LCM 5263 and 5267
(i) The LCM of 5267 and 5263 is associative
LCM of 5263 and 5267 = LCM of 5267 and 5263
Related Least Common Multiples of 5263
Related Least Common Multiples of 5267
Frequently Asked Questions on LCM of 5263 and 5267
1. What is the LCM of 5263 and 5267?
Answer: LCM of 5263 and 5267 is 27720221.
2. 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.
3. What are the Factors of 5267?
Answer: Factors of 5267 are 1, 23, 229, 5267. There are 4 integers that are factors of 5267. The greatest factor of 5267 is 5267.
4. How to Find the LCM of 5263 and 5267?
Answer:
Least Common Multiple of 5263 and 5267 = 27720221
Step 1: Find the prime factorization of 5263
5263 = 19 x 277
Step 2: Find the prime factorization of 5267
5267 = 23 x 229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27720221 = 19 x 23 x 229 x 277
Step 4: Therefore, the least common multiple of 5263 and 5267 is 27720221.