Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15231 and 15237 the smallest integer that is 77358249 that is divisible by both numbers.
Least Common Multiple (LCM) of 15231 and 15237 is 77358249.
LCM(15231,15237) = 77358249
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 15231 and 15237. First we will calculate the prime factors of 15231 and 15237.
Prime Factorization of 15231
3 | 15231 |
5077 | 5077 |
1 |
Prime factors of 15231 are 3,5077. Prime factorization of 15231 in exponential form is:
15231 = 31×50771
Prime Factorization of 15237
3 | 15237 |
3 | 5079 |
1693 | 1693 |
1 |
Prime factors of 15237 are 3,1693. Prime factorization of 15237 in exponential form is:
15237 = 32×16931
Now multiplying the highest exponent prime factors to calculate the LCM of 15231 and 15237.
LCM(15231,15237) = 32×16931×50771
LCM(15231,15237) = 77358249
Factors of 15231
List of positive integer factors of 15231 that divides 15231 without a remainder.
1, 3, 5077, 15231
Factors of 15237
List of positive integer factors of 15237 that divides 15237 without a remainder.
1, 3, 9, 1693, 5079, 15237
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15231 and 15237, than apply into the LCM equation.
GCF(15231,15237) = 3
LCM(15231,15237) = ( 15231 × 15237) / 3
LCM(15231,15237) = 232074747 / 3
LCM(15231,15237) = 77358249
(i) The LCM of 15237 and 15231 is associative
LCM of 15231 and 15237 = LCM of 15237 and 15231
1. What is the LCM of 15231 and 15237?
Answer: LCM of 15231 and 15237 is 77358249.
2. What are the Factors of 15231?
Answer: Factors of 15231 are 1, 3, 5077, 15231. There are 4 integers that are factors of 15231. The greatest factor of 15231 is 15231.
3. What are the Factors of 15237?
Answer: Factors of 15237 are 1, 3, 9, 1693, 5079, 15237. There are 6 integers that are factors of 15237. The greatest factor of 15237 is 15237.
4. How to Find the LCM of 15231 and 15237?
Answer:
Least Common Multiple of 15231 and 15237 = 77358249
Step 1: Find the prime factorization of 15231
15231 = 3 x 5077
Step 2: Find the prime factorization of 15237
15237 = 3 x 3 x 1693
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77358249 = 3 x 3 x 1693 x 5077
Step 4: Therefore, the least common multiple of 15231 and 15237 is 77358249.