Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15179 and 15186 the smallest integer that is 230508294 that is divisible by both numbers.
Least Common Multiple (LCM) of 15179 and 15186 is 230508294.
LCM(15179,15186) = 230508294
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 15179 and 15186. First we will calculate the prime factors of 15179 and 15186.
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
Prime Factorization of 15186
2 | 15186 |
3 | 7593 |
2531 | 2531 |
1 |
Prime factors of 15186 are 2, 3,2531. Prime factorization of 15186 in exponential form is:
15186 = 21×31×25311
Now multiplying the highest exponent prime factors to calculate the LCM of 15179 and 15186.
LCM(15179,15186) = 21×31×431×3531×25311
LCM(15179,15186) = 230508294
Factors of 15179
List of positive integer factors of 15179 that divides 15179 without a remainder.
1, 43, 353, 15179
Factors of 15186
List of positive integer factors of 15186 that divides 15186 without a remainder.
1, 2, 3, 6, 2531, 5062, 7593, 15186
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15179 and 15186, than apply into the LCM equation.
GCF(15179,15186) = 1
LCM(15179,15186) = ( 15179 × 15186) / 1
LCM(15179,15186) = 230508294 / 1
LCM(15179,15186) = 230508294
(i) The LCM of 15186 and 15179 is associative
LCM of 15179 and 15186 = LCM of 15186 and 15179
1. What is the LCM of 15179 and 15186?
Answer: LCM of 15179 and 15186 is 230508294.
2. 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.
3. What are the Factors of 15186?
Answer: Factors of 15186 are 1, 2, 3, 6, 2531, 5062, 7593, 15186. There are 8 integers that are factors of 15186. The greatest factor of 15186 is 15186.
4. How to Find the LCM of 15179 and 15186?
Answer:
Least Common Multiple of 15179 and 15186 = 230508294
Step 1: Find the prime factorization of 15179
15179 = 43 x 353
Step 2: Find the prime factorization of 15186
15186 = 2 x 3 x 2531
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 230508294 = 2 x 3 x 43 x 353 x 2531
Step 4: Therefore, the least common multiple of 15179 and 15186 is 230508294.