Least Common Multiple of 13227 and 13231
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13227 and 13231 the smallest integer that is 175006437 that is divisible by both numbers.
Least Common Multiple (LCM) of 13227 and 13231 is 175006437.
LCM(13227,13231) = 175006437
LCM of 13227 and 13231
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13227 and 13231 by Prime method
- Least Common Multiple of 13227 and 13231 with GCF Formula
LCM of 13227 and 13231 is 175006437
Least common multiple can be found by multiplying the highest exponent prime factors of 13227 and 13231. First we will calculate the prime factors of 13227 and 13231.
Prime Factorization of 13227
| 3 | 13227 |
| 4409 | 4409 |
| 1 |
Prime factors of 13227 are 3,4409. Prime factorization of 13227 in exponential form is:
13227 = 31×44091
Prime Factorization of 13231
| 101 | 13231 |
| 131 | 131 |
| 1 |
Prime factors of 13231 are 101,131. Prime factorization of 13231 in exponential form is:
13231 = 1011×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 13227 and 13231.
LCM(13227,13231) = 31×1011×1311×44091
LCM(13227,13231) = 175006437
Factors of 13227
List of positive integer factors of 13227 that divides 13227 without a remainder.
1, 3, 4409, 13227
Factors of 13231
List of positive integer factors of 13231 that divides 13231 without a remainder.
1, 101, 131, 13231
Least Common Multiple of 13227 and 13231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13227 and 13231, than apply into the LCM equation.
GCF(13227,13231) = 1
LCM(13227,13231) = ( 13227 × 13231) / 1
LCM(13227,13231) = 175006437 / 1
LCM(13227,13231) = 175006437
Properties of LCM 13227 and 13231
(i) The LCM of 13231 and 13227 is associative
LCM of 13227 and 13231 = LCM of 13231 and 13227
Related Least Common Multiples of 13227
Related Least Common Multiples of 13231
Frequently Asked Questions on LCM of 13227 and 13231
1. What is the LCM of 13227 and 13231?
Answer: LCM of 13227 and 13231 is 175006437.
2. What are the Factors of 13227?
Answer: Factors of 13227 are 1, 3, 4409, 13227. There are 4 integers that are factors of 13227. The greatest factor of 13227 is 13227.
3. What are the Factors of 13231?
Answer: Factors of 13231 are 1, 101, 131, 13231. There are 4 integers that are factors of 13231. The greatest factor of 13231 is 13231.
4. How to Find the LCM of 13227 and 13231?
Answer:
Least Common Multiple of 13227 and 13231 = 175006437
Step 1: Find the prime factorization of 13227
13227 = 3 x 4409
Step 2: Find the prime factorization of 13231
13231 = 101 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 175006437 = 3 x 101 x 131 x 4409
Step 4: Therefore, the least common multiple of 13227 and 13231 is 175006437.