Least Common Multiple of 15174 and 15179
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15174 and 15179 the smallest integer that is 230326146 that is divisible by both numbers.
Least Common Multiple (LCM) of 15174 and 15179 is 230326146.
LCM(15174,15179) = 230326146
LCM of 15174 and 15179
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15174 and 15179 by Prime method
- Least Common Multiple of 15174 and 15179 with GCF Formula
LCM of 15174 and 15179 is 230326146
Least common multiple can be found by multiplying the highest exponent prime factors of 15174 and 15179. First we will calculate the prime factors of 15174 and 15179.
Prime Factorization of 15174
| 2 | 15174 |
| 3 | 7587 |
| 3 | 2529 |
| 3 | 843 |
| 281 | 281 |
| 1 |
Prime factors of 15174 are 2, 3,281. Prime factorization of 15174 in exponential form is:
15174 = 21×33×2811
Prime Factorization of 15179
| 43 | 15179 |
| 353 | 353 |
| 1 |
Prime factors of 15179 are 43,353. Prime factorization of 15179 in exponential form is:
15179 = 431×3531
Now multiplying the highest exponent prime factors to calculate the LCM of 15174 and 15179.
LCM(15174,15179) = 21×33×431×2811×3531
LCM(15174,15179) = 230326146
Factors of 15174
List of positive integer factors of 15174 that divides 15174 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 281, 562, 843, 1686, 2529, 5058, 7587, 15174
Factors of 15179
List of positive integer factors of 15179 that divides 15179 without a remainder.
1, 43, 353, 15179
Least Common Multiple of 15174 and 15179 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15174 and 15179, than apply into the LCM equation.
GCF(15174,15179) = 1
LCM(15174,15179) = ( 15174 × 15179) / 1
LCM(15174,15179) = 230326146 / 1
LCM(15174,15179) = 230326146
Properties of LCM 15174 and 15179
(i) The LCM of 15179 and 15174 is associative
LCM of 15174 and 15179 = LCM of 15179 and 15174
Related Least Common Multiples of 15174
Related Least Common Multiples of 15179
Frequently Asked Questions on LCM of 15174 and 15179
1. What is the LCM of 15174 and 15179?
Answer: LCM of 15174 and 15179 is 230326146.
2. What are the Factors of 15174?
Answer: Factors of 15174 are 1, 2, 3, 6, 9, 18, 27, 54, 281, 562, 843, 1686, 2529, 5058, 7587, 15174. There are 16 integers that are factors of 15174. The greatest factor of 15174 is 15174.
3. What are the Factors of 15179?
Answer: Factors of 15179 are 1, 43, 353, 15179. There are 4 integers that are factors of 15179. The greatest factor of 15179 is 15179.
4. How to Find the LCM of 15174 and 15179?
Answer:
Least Common Multiple of 15174 and 15179 = 230326146
Step 1: Find the prime factorization of 15174
15174 = 2 x 3 x 3 x 3 x 281
Step 2: Find the prime factorization of 15179
15179 = 43 x 353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 230326146 = 2 x 3 x 3 x 3 x 43 x 281 x 353
Step 4: Therefore, the least common multiple of 15174 and 15179 is 230326146.