Least Common Multiple of 15209 and 15215
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15209 and 15215 the smallest integer that is 231404935 that is divisible by both numbers.
Least Common Multiple (LCM) of 15209 and 15215 is 231404935.
LCM(15209,15215) = 231404935
LCM of 15209 and 15215
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15209 and 15215 by Prime method
- Least Common Multiple of 15209 and 15215 with GCF Formula
LCM of 15209 and 15215 is 231404935
Least common multiple can be found by multiplying the highest exponent prime factors of 15209 and 15215. First we will calculate the prime factors of 15209 and 15215.
Prime Factorization of 15209
| 67 | 15209 |
| 227 | 227 |
| 1 |
Prime factors of 15209 are 67,227. Prime factorization of 15209 in exponential form is:
15209 = 671×2271
Prime Factorization of 15215
| 5 | 15215 |
| 17 | 3043 |
| 179 | 179 |
| 1 |
Prime factors of 15215 are 5, 17,179. Prime factorization of 15215 in exponential form is:
15215 = 51×171×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 15209 and 15215.
LCM(15209,15215) = 51×171×671×1791×2271
LCM(15209,15215) = 231404935
Factors of 15209
List of positive integer factors of 15209 that divides 15209 without a remainder.
1, 67, 227, 15209
Factors of 15215
List of positive integer factors of 15215 that divides 15215 without a remainder.
1, 5, 17, 85, 179, 895, 3043, 15215
Least Common Multiple of 15209 and 15215 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15209 and 15215, than apply into the LCM equation.
GCF(15209,15215) = 1
LCM(15209,15215) = ( 15209 × 15215) / 1
LCM(15209,15215) = 231404935 / 1
LCM(15209,15215) = 231404935
Properties of LCM 15209 and 15215
(i) The LCM of 15215 and 15209 is associative
LCM of 15209 and 15215 = LCM of 15215 and 15209
Related Least Common Multiples of 15209
Related Least Common Multiples of 15215
Frequently Asked Questions on LCM of 15209 and 15215
1. What is the LCM of 15209 and 15215?
Answer: LCM of 15209 and 15215 is 231404935.
2. What are the Factors of 15209?
Answer: Factors of 15209 are 1, 67, 227, 15209. There are 4 integers that are factors of 15209. The greatest factor of 15209 is 15209.
3. What are the Factors of 15215?
Answer: Factors of 15215 are 1, 5, 17, 85, 179, 895, 3043, 15215. There are 8 integers that are factors of 15215. The greatest factor of 15215 is 15215.
4. How to Find the LCM of 15209 and 15215?
Answer:
Least Common Multiple of 15209 and 15215 = 231404935
Step 1: Find the prime factorization of 15209
15209 = 67 x 227
Step 2: Find the prime factorization of 15215
15215 = 5 x 17 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 231404935 = 5 x 17 x 67 x 179 x 227
Step 4: Therefore, the least common multiple of 15209 and 15215 is 231404935.