Least Common Multiple of 15189 and 15193
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 15193 the smallest integer that is 230766477 that is divisible by both numbers.
Least Common Multiple (LCM) of 15189 and 15193 is 230766477.
LCM(15189,15193) = 230766477
LCM of 15189 and 15193
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15189 and 15193 by Prime method
- Least Common Multiple of 15189 and 15193 with GCF Formula
LCM of 15189 and 15193 is 230766477
Least common multiple can be found by multiplying the highest exponent prime factors of 15189 and 15193. First we will calculate the prime factors of 15189 and 15193.
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 15193
| 15193 | 15193 |
| 1 |
Prime factors of 15193 are 15193. Prime factorization of 15193 in exponential form is:
15193 = 151931
Now multiplying the highest exponent prime factors to calculate the LCM of 15189 and 15193.
LCM(15189,15193) = 31×611×831×151931
LCM(15189,15193) = 230766477
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 15193
List of positive integer factors of 15193 that divides 15193 without a remainder.
1, 15193
Least Common Multiple of 15189 and 15193 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 15193, than apply into the LCM equation.
GCF(15189,15193) = 1
LCM(15189,15193) = ( 15189 × 15193) / 1
LCM(15189,15193) = 230766477 / 1
LCM(15189,15193) = 230766477
Properties of LCM 15189 and 15193
(i) The LCM of 15193 and 15189 is associative
LCM of 15189 and 15193 = LCM of 15193 and 15189
Related Least Common Multiples of 15189
Related Least Common Multiples of 15193
Frequently Asked Questions on LCM of 15189 and 15193
1. What is the LCM of 15189 and 15193?
Answer: LCM of 15189 and 15193 is 230766477.
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 15193?
Answer: Factors of 15193 are 1, 15193. There are 2 integers that are factors of 15193. The greatest factor of 15193 is 15193.
4. How to Find the LCM of 15189 and 15193?
Answer:
Least Common Multiple of 15189 and 15193 = 230766477
Step 1: Find the prime factorization of 15189
15189 = 3 x 61 x 83
Step 2: Find the prime factorization of 15193
15193 = 15193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 230766477 = 3 x 61 x 83 x 15193
Step 4: Therefore, the least common multiple of 15189 and 15193 is 230766477.