Least Common Multiple of 1177 and 1178
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1177 and 1178 the smallest integer that is 1386506 that is divisible by both numbers.
Least Common Multiple (LCM) of 1177 and 1178 is 1386506.
LCM(1177,1178) = 1386506
LCM of 1177 and 1178
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1177 and 1178 by Prime method
- Least Common Multiple of 1177 and 1178 with GCF Formula
LCM of 1177 and 1178 is 1386506
Least common multiple can be found by multiplying the highest exponent prime factors of 1177 and 1178. First we will calculate the prime factors of 1177 and 1178.
Prime Factorization of 1177
| 11 | 1177 |
| 107 | 107 |
| 1 |
Prime factors of 1177 are 11,107. Prime factorization of 1177 in exponential form is:
1177 = 111×1071
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1177 and 1178.
LCM(1177,1178) = 21×111×191×311×1071
LCM(1177,1178) = 1386506
Factors of 1177
List of positive integer factors of 1177 that divides 1177 without a remainder.
1, 11, 107, 1177
Factors of 1178
List of positive integer factors of 1178 that divides 1178 without a remainder.
1, 2, 19, 31, 38, 62, 589, 1178
Least Common Multiple of 1177 and 1178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1177 and 1178, than apply into the LCM equation.
GCF(1177,1178) = 1
LCM(1177,1178) = ( 1177 × 1178) / 1
LCM(1177,1178) = 1386506 / 1
LCM(1177,1178) = 1386506
Properties of LCM 1177 and 1178
(i) The LCM of 1178 and 1177 is associative
LCM of 1177 and 1178 = LCM of 1178 and 1177
Related Least Common Multiples of 1177
Related Least Common Multiples of 1178
Frequently Asked Questions on LCM of 1177 and 1178
1. What is the LCM of 1177 and 1178?
Answer: LCM of 1177 and 1178 is 1386506.
2. What are the Factors of 1177?
Answer: Factors of 1177 are 1, 11, 107, 1177. There are 4 integers that are factors of 1177. The greatest factor of 1177 is 1177.
3. 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.
4. How to Find the LCM of 1177 and 1178?
Answer:
Least Common Multiple of 1177 and 1178 = 1386506
Step 1: Find the prime factorization of 1177
1177 = 11 x 107
Step 2: Find the prime factorization of 1178
1178 = 2 x 19 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1386506 = 2 x 11 x 19 x 31 x 107
Step 4: Therefore, the least common multiple of 1177 and 1178 is 1386506.
