Least Common Multiple of 1185 and 1189
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1185 and 1189 the smallest integer that is 1408965 that is divisible by both numbers.
Least Common Multiple (LCM) of 1185 and 1189 is 1408965.
LCM(1185,1189) = 1408965
LCM of 1185 and 1189
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1185 and 1189 by Prime method
- Least Common Multiple of 1185 and 1189 with GCF Formula
LCM of 1185 and 1189 is 1408965
Least common multiple can be found by multiplying the highest exponent prime factors of 1185 and 1189. First we will calculate the prime factors of 1185 and 1189.
Prime Factorization of 1185
| 3 | 1185 |
| 5 | 395 |
| 79 | 79 |
| 1 |
Prime factors of 1185 are 3, 5,79. Prime factorization of 1185 in exponential form is:
1185 = 31×51×791
Prime Factorization of 1189
| 29 | 1189 |
| 41 | 41 |
| 1 |
Prime factors of 1189 are 29,41. Prime factorization of 1189 in exponential form is:
1189 = 291×411
Now multiplying the highest exponent prime factors to calculate the LCM of 1185 and 1189.
LCM(1185,1189) = 31×51×291×411×791
LCM(1185,1189) = 1408965
Factors of 1185
List of positive integer factors of 1185 that divides 1185 without a remainder.
1, 3, 5, 15, 79, 237, 395, 1185
Factors of 1189
List of positive integer factors of 1189 that divides 1189 without a remainder.
1, 29, 41, 1189
Least Common Multiple of 1185 and 1189 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1185 and 1189, than apply into the LCM equation.
GCF(1185,1189) = 1
LCM(1185,1189) = ( 1185 × 1189) / 1
LCM(1185,1189) = 1408965 / 1
LCM(1185,1189) = 1408965
Properties of LCM 1185 and 1189
(i) The LCM of 1189 and 1185 is associative
LCM of 1185 and 1189 = LCM of 1189 and 1185
Related Least Common Multiples of 1185
Related Least Common Multiples of 1189
Frequently Asked Questions on LCM of 1185 and 1189
1. What is the LCM of 1185 and 1189?
Answer: LCM of 1185 and 1189 is 1408965.
2. What are the Factors of 1185?
Answer: Factors of 1185 are 1, 3, 5, 15, 79, 237, 395, 1185. There are 8 integers that are factors of 1185. The greatest factor of 1185 is 1185.
3. What are the Factors of 1189?
Answer: Factors of 1189 are 1, 29, 41, 1189. There are 4 integers that are factors of 1189. The greatest factor of 1189 is 1189.
4. How to Find the LCM of 1185 and 1189?
Answer:
Least Common Multiple of 1185 and 1189 = 1408965
Step 1: Find the prime factorization of 1185
1185 = 3 x 5 x 79
Step 2: Find the prime factorization of 1189
1189 = 29 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1408965 = 3 x 5 x 29 x 41 x 79
Step 4: Therefore, the least common multiple of 1185 and 1189 is 1408965.