Least Common Multiple of 15189 and 15191
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15189 and 15191 the smallest integer that is 230736099 that is divisible by both numbers.
Least Common Multiple (LCM) of 15189 and 15191 is 230736099.
LCM(15189,15191) = 230736099
LCM of 15189 and 15191
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15189 and 15191 by Prime method
- Least Common Multiple of 15189 and 15191 with GCF Formula
LCM of 15189 and 15191 is 230736099
Least common multiple can be found by multiplying the highest exponent prime factors of 15189 and 15191. First we will calculate the prime factors of 15189 and 15191.
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
Prime Factorization of 15191
| 11 | 15191 |
| 1381 | 1381 |
| 1 |
Prime factors of 15191 are 11,1381. Prime factorization of 15191 in exponential form is:
15191 = 111×13811
Now multiplying the highest exponent prime factors to calculate the LCM of 15189 and 15191.
LCM(15189,15191) = 31×111×611×831×13811
LCM(15189,15191) = 230736099
Factors of 15189
List of positive integer factors of 15189 that divides 15189 without a remainder.
1, 3, 61, 83, 183, 249, 5063, 15189
Factors of 15191
List of positive integer factors of 15191 that divides 15191 without a remainder.
1, 11, 1381, 15191
Least Common Multiple of 15189 and 15191 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15189 and 15191, than apply into the LCM equation.
GCF(15189,15191) = 1
LCM(15189,15191) = ( 15189 × 15191) / 1
LCM(15189,15191) = 230736099 / 1
LCM(15189,15191) = 230736099
Properties of LCM 15189 and 15191
(i) The LCM of 15191 and 15189 is associative
LCM of 15189 and 15191 = LCM of 15191 and 15189
Related Least Common Multiples of 15189
Related Least Common Multiples of 15191
Frequently Asked Questions on LCM of 15189 and 15191
1. What is the LCM of 15189 and 15191?
Answer: LCM of 15189 and 15191 is 230736099.
2. 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.
3. What are the Factors of 15191?
Answer: Factors of 15191 are 1, 11, 1381, 15191. There are 4 integers that are factors of 15191. The greatest factor of 15191 is 15191.
4. How to Find the LCM of 15189 and 15191?
Answer:
Least Common Multiple of 15189 and 15191 = 230736099
Step 1: Find the prime factorization of 15189
15189 = 3 x 61 x 83
Step 2: Find the prime factorization of 15191
15191 = 11 x 1381
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 230736099 = 3 x 11 x 61 x 83 x 1381
Step 4: Therefore, the least common multiple of 15189 and 15191 is 230736099.