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 1184 the smallest integer that is 1393568 that is divisible by both numbers.
Least Common Multiple (LCM) of 1177 and 1184 is 1393568.
LCM(1177,1184) = 1393568
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 1177 and 1184. First we will calculate the prime factors of 1177 and 1184.
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 1184
2 | 1184 |
2 | 592 |
2 | 296 |
2 | 148 |
2 | 74 |
37 | 37 |
1 |
Prime factors of 1184 are 2,37. Prime factorization of 1184 in exponential form is:
1184 = 25×371
Now multiplying the highest exponent prime factors to calculate the LCM of 1177 and 1184.
LCM(1177,1184) = 25×111×371×1071
LCM(1177,1184) = 1393568
Factors of 1177
List of positive integer factors of 1177 that divides 1177 without a remainder.
1, 11, 107, 1177
Factors of 1184
List of positive integer factors of 1184 that divides 1184 without a remainder.
1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1177 and 1184, than apply into the LCM equation.
GCF(1177,1184) = 1
LCM(1177,1184) = ( 1177 × 1184) / 1
LCM(1177,1184) = 1393568 / 1
LCM(1177,1184) = 1393568
(i) The LCM of 1184 and 1177 is associative
LCM of 1177 and 1184 = LCM of 1184 and 1177
1. What is the LCM of 1177 and 1184?
Answer: LCM of 1177 and 1184 is 1393568.
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 1184?
Answer: Factors of 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184. There are 12 integers that are factors of 1184. The greatest factor of 1184 is 1184.
4. How to Find the LCM of 1177 and 1184?
Answer:
Least Common Multiple of 1177 and 1184 = 1393568
Step 1: Find the prime factorization of 1177
1177 = 11 x 107
Step 2: Find the prime factorization of 1184
1184 = 2 x 2 x 2 x 2 x 2 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1393568 = 2 x 2 x 2 x 2 x 2 x 11 x 37 x 107
Step 4: Therefore, the least common multiple of 1177 and 1184 is 1393568.