Least Common Multiple of 15231 and 15239
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 15239 the smallest integer that is 232105209 that is divisible by both numbers.
Least Common Multiple (LCM) of 15231 and 15239 is 232105209.
LCM(15231,15239) = 232105209
LCM of 15231 and 15239
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15231 and 15239 by Prime method
- Least Common Multiple of 15231 and 15239 with GCF Formula
LCM of 15231 and 15239 is 232105209
Least common multiple can be found by multiplying the highest exponent prime factors of 15231 and 15239. First we will calculate the prime factors of 15231 and 15239.
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 15239
| 7 | 15239 |
| 7 | 2177 |
| 311 | 311 |
| 1 |
Prime factors of 15239 are 7,311. Prime factorization of 15239 in exponential form is:
15239 = 72×3111
Now multiplying the highest exponent prime factors to calculate the LCM of 15231 and 15239.
LCM(15231,15239) = 31×72×3111×50771
LCM(15231,15239) = 232105209
Factors of 15231
List of positive integer factors of 15231 that divides 15231 without a remainder.
1, 3, 5077, 15231
Factors of 15239
List of positive integer factors of 15239 that divides 15239 without a remainder.
1, 7, 49, 311, 2177, 15239
Least Common Multiple of 15231 and 15239 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15231 and 15239, than apply into the LCM equation.
GCF(15231,15239) = 1
LCM(15231,15239) = ( 15231 × 15239) / 1
LCM(15231,15239) = 232105209 / 1
LCM(15231,15239) = 232105209
Properties of LCM 15231 and 15239
(i) The LCM of 15239 and 15231 is associative
LCM of 15231 and 15239 = LCM of 15239 and 15231
Related Least Common Multiples of 15231
Related Least Common Multiples of 15239
Frequently Asked Questions on LCM of 15231 and 15239
1. What is the LCM of 15231 and 15239?
Answer: LCM of 15231 and 15239 is 232105209.
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 15239?
Answer: Factors of 15239 are 1, 7, 49, 311, 2177, 15239. There are 6 integers that are factors of 15239. The greatest factor of 15239 is 15239.
4. How to Find the LCM of 15231 and 15239?
Answer:
Least Common Multiple of 15231 and 15239 = 232105209
Step 1: Find the prime factorization of 15231
15231 = 3 x 5077
Step 2: Find the prime factorization of 15239
15239 = 7 x 7 x 311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 232105209 = 3 x 7 x 7 x 311 x 5077
Step 4: Therefore, the least common multiple of 15231 and 15239 is 232105209.