Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4231 and 4237 the smallest integer that is 17926747 that is divisible by both numbers.
Least Common Multiple (LCM) of 4231 and 4237 is 17926747.
LCM(4231,4237) = 17926747
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 4231 and 4237. First we will calculate the prime factors of 4231 and 4237.
Prime Factorization of 4231
4231 | 4231 |
1 |
Prime factors of 4231 are 4231. Prime factorization of 4231 in exponential form is:
4231 = 42311
Prime Factorization of 4237
19 | 4237 |
223 | 223 |
1 |
Prime factors of 4237 are 19,223. Prime factorization of 4237 in exponential form is:
4237 = 191×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 4231 and 4237.
LCM(4231,4237) = 191×2231×42311
LCM(4231,4237) = 17926747
Factors of 4231
List of positive integer factors of 4231 that divides 4231 without a remainder.
1, 4231
Factors of 4237
List of positive integer factors of 4237 that divides 4237 without a remainder.
1, 19, 223, 4237
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4231 and 4237, than apply into the LCM equation.
GCF(4231,4237) = 1
LCM(4231,4237) = ( 4231 × 4237) / 1
LCM(4231,4237) = 17926747 / 1
LCM(4231,4237) = 17926747
(i) The LCM of 4237 and 4231 is associative
LCM of 4231 and 4237 = LCM of 4237 and 4231
1. What is the LCM of 4231 and 4237?
Answer: LCM of 4231 and 4237 is 17926747.
2. 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.
3. What are the Factors of 4237?
Answer: Factors of 4237 are 1, 19, 223, 4237. There are 4 integers that are factors of 4237. The greatest factor of 4237 is 4237.
4. How to Find the LCM of 4231 and 4237?
Answer:
Least Common Multiple of 4231 and 4237 = 17926747
Step 1: Find the prime factorization of 4231
4231 = 4231
Step 2: Find the prime factorization of 4237
4237 = 19 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17926747 = 19 x 223 x 4231
Step 4: Therefore, the least common multiple of 4231 and 4237 is 17926747.