Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4227 and 4231 the smallest integer that is 17884437 that is divisible by both numbers.
Least Common Multiple (LCM) of 4227 and 4231 is 17884437.
LCM(4227,4231) = 17884437
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4227 and 4231. First we will calculate the prime factors of 4227 and 4231.
Prime Factorization of 4227
3 | 4227 |
1409 | 1409 |
1 |
Prime factors of 4227 are 3,1409. Prime factorization of 4227 in exponential form is:
4227 = 31×14091
Prime Factorization of 4231
4231 | 4231 |
1 |
Prime factors of 4231 are 4231. Prime factorization of 4231 in exponential form is:
4231 = 42311
Now multiplying the highest exponent prime factors to calculate the LCM of 4227 and 4231.
LCM(4227,4231) = 31×14091×42311
LCM(4227,4231) = 17884437
Factors of 4227
List of positive integer factors of 4227 that divides 4227 without a remainder.
1, 3, 1409, 4227
Factors of 4231
List of positive integer factors of 4231 that divides 4231 without a remainder.
1, 4231
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4227 and 4231, than apply into the LCM equation.
GCF(4227,4231) = 1
LCM(4227,4231) = ( 4227 × 4231) / 1
LCM(4227,4231) = 17884437 / 1
LCM(4227,4231) = 17884437
(i) The LCM of 4231 and 4227 is associative
LCM of 4227 and 4231 = LCM of 4231 and 4227
1. What is the LCM of 4227 and 4231?
Answer: LCM of 4227 and 4231 is 17884437.
2. What are the Factors of 4227?
Answer: Factors of 4227 are 1, 3, 1409, 4227. There are 4 integers that are factors of 4227. The greatest factor of 4227 is 4227.
3. What are the Factors of 4231?
Answer: Factors of 4231 are 1, 4231. There are 2 integers that are factors of 4231. The greatest factor of 4231 is 4231.
4. How to Find the LCM of 4227 and 4231?
Answer:
Least Common Multiple of 4227 and 4231 = 17884437
Step 1: Find the prime factorization of 4227
4227 = 3 x 1409
Step 2: Find the prime factorization of 4231
4231 = 4231
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17884437 = 3 x 1409 x 4231
Step 4: Therefore, the least common multiple of 4227 and 4231 is 17884437.