Least Common Multiple of 15165 and 15169
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15165 and 15169 the smallest integer that is 230037885 that is divisible by both numbers.
Least Common Multiple (LCM) of 15165 and 15169 is 230037885.
LCM(15165,15169) = 230037885
LCM of 15165 and 15169
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15165 and 15169 by Prime method
- Least Common Multiple of 15165 and 15169 with GCF Formula
LCM of 15165 and 15169 is 230037885
Least common multiple can be found by multiplying the highest exponent prime factors of 15165 and 15169. First we will calculate the prime factors of 15165 and 15169.
Prime Factorization of 15165
| 3 | 15165 |
| 3 | 5055 |
| 5 | 1685 |
| 337 | 337 |
| 1 |
Prime factors of 15165 are 3, 5,337. Prime factorization of 15165 in exponential form is:
15165 = 32×51×3371
Prime Factorization of 15169
| 7 | 15169 |
| 11 | 2167 |
| 197 | 197 |
| 1 |
Prime factors of 15169 are 7, 11,197. Prime factorization of 15169 in exponential form is:
15169 = 71×111×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 15165 and 15169.
LCM(15165,15169) = 32×51×71×111×1971×3371
LCM(15165,15169) = 230037885
Factors of 15165
List of positive integer factors of 15165 that divides 15165 without a remainder.
1, 3, 5, 9, 15, 45, 337, 1011, 1685, 3033, 5055, 15165
Factors of 15169
List of positive integer factors of 15169 that divides 15169 without a remainder.
1, 7, 11, 77, 197, 1379, 2167, 15169
Least Common Multiple of 15165 and 15169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15165 and 15169, than apply into the LCM equation.
GCF(15165,15169) = 1
LCM(15165,15169) = ( 15165 × 15169) / 1
LCM(15165,15169) = 230037885 / 1
LCM(15165,15169) = 230037885
Properties of LCM 15165 and 15169
(i) The LCM of 15169 and 15165 is associative
LCM of 15165 and 15169 = LCM of 15169 and 15165
Related Least Common Multiples of 15165
Related Least Common Multiples of 15169
Frequently Asked Questions on LCM of 15165 and 15169
1. What is the LCM of 15165 and 15169?
Answer: LCM of 15165 and 15169 is 230037885.
2. What are the Factors of 15165?
Answer: Factors of 15165 are 1, 3, 5, 9, 15, 45, 337, 1011, 1685, 3033, 5055, 15165. There are 12 integers that are factors of 15165. The greatest factor of 15165 is 15165.
3. What are the Factors of 15169?
Answer: Factors of 15169 are 1, 7, 11, 77, 197, 1379, 2167, 15169. There are 8 integers that are factors of 15169. The greatest factor of 15169 is 15169.
4. How to Find the LCM of 15165 and 15169?
Answer:
Least Common Multiple of 15165 and 15169 = 230037885
Step 1: Find the prime factorization of 15165
15165 = 3 x 3 x 5 x 337
Step 2: Find the prime factorization of 15169
15169 = 7 x 11 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 230037885 = 3 x 3 x 5 x 7 x 11 x 197 x 337
Step 4: Therefore, the least common multiple of 15165 and 15169 is 230037885.