Least Common Multiple of 15181 and 15189
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15181 and 15189 the smallest integer that is 230584209 that is divisible by both numbers.
Least Common Multiple (LCM) of 15181 and 15189 is 230584209.
LCM(15181,15189) = 230584209
LCM of 15181 and 15189
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15181 and 15189 by Prime method
- Least Common Multiple of 15181 and 15189 with GCF Formula
LCM of 15181 and 15189 is 230584209
Least common multiple can be found by multiplying the highest exponent prime factors of 15181 and 15189. First we will calculate the prime factors of 15181 and 15189.
Prime Factorization of 15181
| 17 | 15181 |
| 19 | 893 |
| 47 | 47 |
| 1 |
Prime factors of 15181 are 17, 19,47. Prime factorization of 15181 in exponential form is:
15181 = 171×191×471
Prime Factorization of 15189
| 3 | 15189 |
| 61 | 5063 |
| 83 | 83 |
| 1 |
Prime factors of 15189 are 3, 61,83. Prime factorization of 15189 in exponential form is:
15189 = 31×611×831
Now multiplying the highest exponent prime factors to calculate the LCM of 15181 and 15189.
LCM(15181,15189) = 31×171×191×471×611×831
LCM(15181,15189) = 230584209
Factors of 15181
List of positive integer factors of 15181 that divides 15181 without a remainder.
1, 17, 19, 47, 323, 799, 893, 15181
Factors of 15189
List of positive integer factors of 15189 that divides 15189 without a remainder.
1, 3, 61, 83, 183, 249, 5063, 15189
Least Common Multiple of 15181 and 15189 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15181 and 15189, than apply into the LCM equation.
GCF(15181,15189) = 1
LCM(15181,15189) = ( 15181 × 15189) / 1
LCM(15181,15189) = 230584209 / 1
LCM(15181,15189) = 230584209
Properties of LCM 15181 and 15189
(i) The LCM of 15189 and 15181 is associative
LCM of 15181 and 15189 = LCM of 15189 and 15181
Related Least Common Multiples of 15181
Related Least Common Multiples of 15189
Frequently Asked Questions on LCM of 15181 and 15189
1. What is the LCM of 15181 and 15189?
Answer: LCM of 15181 and 15189 is 230584209.
2. What are the Factors of 15181?
Answer: Factors of 15181 are 1, 17, 19, 47, 323, 799, 893, 15181. There are 8 integers that are factors of 15181. The greatest factor of 15181 is 15181.
3. What are the Factors of 15189?
Answer: Factors of 15189 are 1, 3, 61, 83, 183, 249, 5063, 15189. There are 8 integers that are factors of 15189. The greatest factor of 15189 is 15189.
4. How to Find the LCM of 15181 and 15189?
Answer:
Least Common Multiple of 15181 and 15189 = 230584209
Step 1: Find the prime factorization of 15181
15181 = 17 x 19 x 47
Step 2: Find the prime factorization of 15189
15189 = 3 x 61 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 230584209 = 3 x 17 x 19 x 47 x 61 x 83
Step 4: Therefore, the least common multiple of 15181 and 15189 is 230584209.