Least Common Multiple of 15177 and 15181
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15177 and 15181 the smallest integer that is 230402037 that is divisible by both numbers.
Least Common Multiple (LCM) of 15177 and 15181 is 230402037.
LCM(15177,15181) = 230402037
LCM of 15177 and 15181
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15177 and 15181 by Prime method
- Least Common Multiple of 15177 and 15181 with GCF Formula
LCM of 15177 and 15181 is 230402037
Least common multiple can be found by multiplying the highest exponent prime factors of 15177 and 15181. First we will calculate the prime factors of 15177 and 15181.
Prime Factorization of 15177
| 3 | 15177 |
| 5059 | 5059 |
| 1 |
Prime factors of 15177 are 3,5059. Prime factorization of 15177 in exponential form is:
15177 = 31×50591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 15177 and 15181.
LCM(15177,15181) = 31×171×191×471×50591
LCM(15177,15181) = 230402037
Factors of 15177
List of positive integer factors of 15177 that divides 15177 without a remainder.
1, 3, 5059, 15177
Factors of 15181
List of positive integer factors of 15181 that divides 15181 without a remainder.
1, 17, 19, 47, 323, 799, 893, 15181
Least Common Multiple of 15177 and 15181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15177 and 15181, than apply into the LCM equation.
GCF(15177,15181) = 1
LCM(15177,15181) = ( 15177 × 15181) / 1
LCM(15177,15181) = 230402037 / 1
LCM(15177,15181) = 230402037
Properties of LCM 15177 and 15181
(i) The LCM of 15181 and 15177 is associative
LCM of 15177 and 15181 = LCM of 15181 and 15177
Related Least Common Multiples of 15177
Related Least Common Multiples of 15181
Frequently Asked Questions on LCM of 15177 and 15181
1. What is the LCM of 15177 and 15181?
Answer: LCM of 15177 and 15181 is 230402037.
2. What are the Factors of 15177?
Answer: Factors of 15177 are 1, 3, 5059, 15177. There are 4 integers that are factors of 15177. The greatest factor of 15177 is 15177.
3. 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.
4. How to Find the LCM of 15177 and 15181?
Answer:
Least Common Multiple of 15177 and 15181 = 230402037
Step 1: Find the prime factorization of 15177
15177 = 3 x 5059
Step 2: Find the prime factorization of 15181
15181 = 17 x 19 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 230402037 = 3 x 17 x 19 x 47 x 5059
Step 4: Therefore, the least common multiple of 15177 and 15181 is 230402037.