Least Common Multiple of 1178 and 1185
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1178 and 1185 the smallest integer that is 1395930 that is divisible by both numbers.
Least Common Multiple (LCM) of 1178 and 1185 is 1395930.
LCM(1178,1185) = 1395930
LCM of 1178 and 1185
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1178 and 1185 by Prime method
- Least Common Multiple of 1178 and 1185 with GCF Formula
LCM of 1178 and 1185 is 1395930
Least common multiple can be found by multiplying the highest exponent prime factors of 1178 and 1185. First we will calculate the prime factors of 1178 and 1185.
Prime Factorization of 1178
| 2 | 1178 |
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 1178 are 2, 19,31. Prime factorization of 1178 in exponential form is:
1178 = 21×191×311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1178 and 1185.
LCM(1178,1185) = 21×31×51×191×311×791
LCM(1178,1185) = 1395930
Factors of 1178
List of positive integer factors of 1178 that divides 1178 without a remainder.
1, 2, 19, 31, 38, 62, 589, 1178
Factors of 1185
List of positive integer factors of 1185 that divides 1185 without a remainder.
1, 3, 5, 15, 79, 237, 395, 1185
Least Common Multiple of 1178 and 1185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1178 and 1185, than apply into the LCM equation.
GCF(1178,1185) = 1
LCM(1178,1185) = ( 1178 × 1185) / 1
LCM(1178,1185) = 1395930 / 1
LCM(1178,1185) = 1395930
Properties of LCM 1178 and 1185
(i) The LCM of 1185 and 1178 is associative
LCM of 1178 and 1185 = LCM of 1185 and 1178
Related Least Common Multiples of 1178
Related Least Common Multiples of 1185
Frequently Asked Questions on LCM of 1178 and 1185
1. What is the LCM of 1178 and 1185?
Answer: LCM of 1178 and 1185 is 1395930.
2. What are the Factors of 1178?
Answer: Factors of 1178 are 1, 2, 19, 31, 38, 62, 589, 1178. There are 8 integers that are factors of 1178. The greatest factor of 1178 is 1178.
3. 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.
4. How to Find the LCM of 1178 and 1185?
Answer:
Least Common Multiple of 1178 and 1185 = 1395930
Step 1: Find the prime factorization of 1178
1178 = 2 x 19 x 31
Step 2: Find the prime factorization of 1185
1185 = 3 x 5 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1395930 = 2 x 3 x 5 x 19 x 31 x 79
Step 4: Therefore, the least common multiple of 1178 and 1185 is 1395930.