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 1186 the smallest integer that is 698554 that is divisible by both numbers.
Least Common Multiple (LCM) of 1178 and 1186 is 698554.
LCM(1178,1186) = 698554
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 1178 and 1186. First we will calculate the prime factors of 1178 and 1186.
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 1186
2 | 1186 |
593 | 593 |
1 |
Prime factors of 1186 are 2,593. Prime factorization of 1186 in exponential form is:
1186 = 21×5931
Now multiplying the highest exponent prime factors to calculate the LCM of 1178 and 1186.
LCM(1178,1186) = 21×191×311×5931
LCM(1178,1186) = 698554
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 1186
List of positive integer factors of 1186 that divides 1186 without a remainder.
1, 2, 593, 1186
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1178 and 1186, than apply into the LCM equation.
GCF(1178,1186) = 2
LCM(1178,1186) = ( 1178 × 1186) / 2
LCM(1178,1186) = 1397108 / 2
LCM(1178,1186) = 698554
(i) The LCM of 1186 and 1178 is associative
LCM of 1178 and 1186 = LCM of 1186 and 1178
1. What is the LCM of 1178 and 1186?
Answer: LCM of 1178 and 1186 is 698554.
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 1186?
Answer: Factors of 1186 are 1, 2, 593, 1186. There are 4 integers that are factors of 1186. The greatest factor of 1186 is 1186.
4. How to Find the LCM of 1178 and 1186?
Answer:
Least Common Multiple of 1178 and 1186 = 698554
Step 1: Find the prime factorization of 1178
1178 = 2 x 19 x 31
Step 2: Find the prime factorization of 1186
1186 = 2 x 593
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 698554 = 2 x 19 x 31 x 593
Step 4: Therefore, the least common multiple of 1178 and 1186 is 698554.