Least Common Multiple of 1173 and 1177
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1173 and 1177 the smallest integer that is 1380621 that is divisible by both numbers.
Least Common Multiple (LCM) of 1173 and 1177 is 1380621.
LCM(1173,1177) = 1380621
LCM of 1173 and 1177
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1173 and 1177 by Prime method
- Least Common Multiple of 1173 and 1177 with GCF Formula
LCM of 1173 and 1177 is 1380621
Least common multiple can be found by multiplying the highest exponent prime factors of 1173 and 1177. First we will calculate the prime factors of 1173 and 1177.
Prime Factorization of 1173
| 3 | 1173 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 1173 are 3, 17,23. Prime factorization of 1173 in exponential form is:
1173 = 31×171×231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1173 and 1177.
LCM(1173,1177) = 31×111×171×231×1071
LCM(1173,1177) = 1380621
Factors of 1173
List of positive integer factors of 1173 that divides 1173 without a remainder.
1, 3, 17, 23, 51, 69, 391, 1173
Factors of 1177
List of positive integer factors of 1177 that divides 1177 without a remainder.
1, 11, 107, 1177
Least Common Multiple of 1173 and 1177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1173 and 1177, than apply into the LCM equation.
GCF(1173,1177) = 1
LCM(1173,1177) = ( 1173 × 1177) / 1
LCM(1173,1177) = 1380621 / 1
LCM(1173,1177) = 1380621
Properties of LCM 1173 and 1177
(i) The LCM of 1177 and 1173 is associative
LCM of 1173 and 1177 = LCM of 1177 and 1173
Related Least Common Multiples of 1173
Related Least Common Multiples of 1177
Frequently Asked Questions on LCM of 1173 and 1177
1. What is the LCM of 1173 and 1177?
Answer: LCM of 1173 and 1177 is 1380621.
2. What are the Factors of 1173?
Answer: Factors of 1173 are 1, 3, 17, 23, 51, 69, 391, 1173. There are 8 integers that are factors of 1173. The greatest factor of 1173 is 1173.
3. 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.
4. How to Find the LCM of 1173 and 1177?
Answer:
Least Common Multiple of 1173 and 1177 = 1380621
Step 1: Find the prime factorization of 1173
1173 = 3 x 17 x 23
Step 2: Find the prime factorization of 1177
1177 = 11 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1380621 = 3 x 11 x 17 x 23 x 107
Step 4: Therefore, the least common multiple of 1173 and 1177 is 1380621.