Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9180 and 9185 the smallest integer that is 16863660 that is divisible by both numbers.
Least Common Multiple (LCM) of 9180 and 9185 is 16863660.
LCM(9180,9185) = 16863660
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 9180 and 9185. First we will calculate the prime factors of 9180 and 9185.
Prime Factorization of 9180
2 | 9180 |
2 | 4590 |
3 | 2295 |
3 | 765 |
3 | 255 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 9180 are 2, 3, 5,17. Prime factorization of 9180 in exponential form is:
9180 = 22×33×51×171
Prime Factorization of 9185
5 | 9185 |
11 | 1837 |
167 | 167 |
1 |
Prime factors of 9185 are 5, 11,167. Prime factorization of 9185 in exponential form is:
9185 = 51×111×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 9180 and 9185.
LCM(9180,9185) = 22×33×51×111×171×1671
LCM(9180,9185) = 16863660
Factors of 9180
List of positive integer factors of 9180 that divides 9180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 85, 90, 102, 108, 135, 153, 170, 180, 204, 255, 270, 306, 340, 459, 510, 540, 612, 765, 918, 1020, 1530, 1836, 2295, 3060, 4590, 9180
Factors of 9185
List of positive integer factors of 9185 that divides 9185 without a remainder.
1, 5, 11, 55, 167, 835, 1837, 9185
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9180 and 9185, than apply into the LCM equation.
GCF(9180,9185) = 5
LCM(9180,9185) = ( 9180 × 9185) / 5
LCM(9180,9185) = 84318300 / 5
LCM(9180,9185) = 16863660
(i) The LCM of 9185 and 9180 is associative
LCM of 9180 and 9185 = LCM of 9185 and 9180
1. What is the LCM of 9180 and 9185?
Answer: LCM of 9180 and 9185 is 16863660.
2. What are the Factors of 9180?
Answer: Factors of 9180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 85, 90, 102, 108, 135, 153, 170, 180, 204, 255, 270, 306, 340, 459, 510, 540, 612, 765, 918, 1020, 1530, 1836, 2295, 3060, 4590, 9180. There are 48 integers that are factors of 9180. The greatest factor of 9180 is 9180.
3. What are the Factors of 9185?
Answer: Factors of 9185 are 1, 5, 11, 55, 167, 835, 1837, 9185. There are 8 integers that are factors of 9185. The greatest factor of 9185 is 9185.
4. How to Find the LCM of 9180 and 9185?
Answer:
Least Common Multiple of 9180 and 9185 = 16863660
Step 1: Find the prime factorization of 9180
9180 = 2 x 2 x 3 x 3 x 3 x 5 x 17
Step 2: Find the prime factorization of 9185
9185 = 5 x 11 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16863660 = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 17 x 167
Step 4: Therefore, the least common multiple of 9180 and 9185 is 16863660.