Least Common Multiple of 1177 and 1183
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 1183 the smallest integer that is 1392391 that is divisible by both numbers.
Least Common Multiple (LCM) of 1177 and 1183 is 1392391.
LCM(1177,1183) = 1392391
LCM of 1177 and 1183
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1177 and 1183 by Prime method
- Least Common Multiple of 1177 and 1183 with GCF Formula
LCM of 1177 and 1183 is 1392391
Least common multiple can be found by multiplying the highest exponent prime factors of 1177 and 1183. First we will calculate the prime factors of 1177 and 1183.
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 1183
| 7 | 1183 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 1183 are 7,13. Prime factorization of 1183 in exponential form is:
1183 = 71×132
Now multiplying the highest exponent prime factors to calculate the LCM of 1177 and 1183.
LCM(1177,1183) = 71×111×132×1071
LCM(1177,1183) = 1392391
Factors of 1177
List of positive integer factors of 1177 that divides 1177 without a remainder.
1, 11, 107, 1177
Factors of 1183
List of positive integer factors of 1183 that divides 1183 without a remainder.
1, 7, 13, 91, 169, 1183
Least Common Multiple of 1177 and 1183 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 1183, than apply into the LCM equation.
GCF(1177,1183) = 1
LCM(1177,1183) = ( 1177 × 1183) / 1
LCM(1177,1183) = 1392391 / 1
LCM(1177,1183) = 1392391
Properties of LCM 1177 and 1183
(i) The LCM of 1183 and 1177 is associative
LCM of 1177 and 1183 = LCM of 1183 and 1177
Related Least Common Multiples of 1177
Related Least Common Multiples of 1183
Frequently Asked Questions on LCM of 1177 and 1183
1. What is the LCM of 1177 and 1183?
Answer: LCM of 1177 and 1183 is 1392391.
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 1183?
Answer: Factors of 1183 are 1, 7, 13, 91, 169, 1183. There are 6 integers that are factors of 1183. The greatest factor of 1183 is 1183.
4. How to Find the LCM of 1177 and 1183?
Answer:
Least Common Multiple of 1177 and 1183 = 1392391
Step 1: Find the prime factorization of 1177
1177 = 11 x 107
Step 2: Find the prime factorization of 1183
1183 = 7 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1392391 = 7 x 11 x 13 x 13 x 107
Step 4: Therefore, the least common multiple of 1177 and 1183 is 1392391.