Least Common Multiple of 15235 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 15235 and 15239 the smallest integer that is 232166165 that is divisible by both numbers.
Least Common Multiple (LCM) of 15235 and 15239 is 232166165.
LCM(15235,15239) = 232166165
LCM of 15235 and 15239
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15235 and 15239 by Prime method
- Least Common Multiple of 15235 and 15239 with GCF Formula
LCM of 15235 and 15239 is 232166165
Least common multiple can be found by multiplying the highest exponent prime factors of 15235 and 15239. First we will calculate the prime factors of 15235 and 15239.
Prime Factorization of 15235
| 5 | 15235 |
| 11 | 3047 |
| 277 | 277 |
| 1 |
Prime factors of 15235 are 5, 11,277. Prime factorization of 15235 in exponential form is:
15235 = 51×111×2771
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 15235 and 15239.
LCM(15235,15239) = 51×72×111×2771×3111
LCM(15235,15239) = 232166165
Factors of 15235
List of positive integer factors of 15235 that divides 15235 without a remainder.
1, 5, 11, 55, 277, 1385, 3047, 15235
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 15235 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 15235 and 15239, than apply into the LCM equation.
GCF(15235,15239) = 1
LCM(15235,15239) = ( 15235 × 15239) / 1
LCM(15235,15239) = 232166165 / 1
LCM(15235,15239) = 232166165
Properties of LCM 15235 and 15239
(i) The LCM of 15239 and 15235 is associative
LCM of 15235 and 15239 = LCM of 15239 and 15235
Related Least Common Multiples of 15235
Related Least Common Multiples of 15239
Frequently Asked Questions on LCM of 15235 and 15239
1. What is the LCM of 15235 and 15239?
Answer: LCM of 15235 and 15239 is 232166165.
2. What are the Factors of 15235?
Answer: Factors of 15235 are 1, 5, 11, 55, 277, 1385, 3047, 15235. There are 8 integers that are factors of 15235. The greatest factor of 15235 is 15235.
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 15235 and 15239?
Answer:
Least Common Multiple of 15235 and 15239 = 232166165
Step 1: Find the prime factorization of 15235
15235 = 5 x 11 x 277
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 = 232166165 = 5 x 7 x 7 x 11 x 277 x 311
Step 4: Therefore, the least common multiple of 15235 and 15239 is 232166165.