Least Common Multiple of 1173 and 1181
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 1181 the smallest integer that is 1385313 that is divisible by both numbers.
Least Common Multiple (LCM) of 1173 and 1181 is 1385313.
LCM(1173,1181) = 1385313
LCM of 1173 and 1181
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1173 and 1181 by Prime method
- Least Common Multiple of 1173 and 1181 with GCF Formula
LCM of 1173 and 1181 is 1385313
Least common multiple can be found by multiplying the highest exponent prime factors of 1173 and 1181. First we will calculate the prime factors of 1173 and 1181.
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 1181
| 1181 | 1181 |
| 1 |
Prime factors of 1181 are 1181. Prime factorization of 1181 in exponential form is:
1181 = 11811
Now multiplying the highest exponent prime factors to calculate the LCM of 1173 and 1181.
LCM(1173,1181) = 31×171×231×11811
LCM(1173,1181) = 1385313
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 1181
List of positive integer factors of 1181 that divides 1181 without a remainder.
1, 1181
Least Common Multiple of 1173 and 1181 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 1181, than apply into the LCM equation.
GCF(1173,1181) = 1
LCM(1173,1181) = ( 1173 × 1181) / 1
LCM(1173,1181) = 1385313 / 1
LCM(1173,1181) = 1385313
Properties of LCM 1173 and 1181
(i) The LCM of 1181 and 1173 is associative
LCM of 1173 and 1181 = LCM of 1181 and 1173
Related Least Common Multiples of 1173
Related Least Common Multiples of 1181
Frequently Asked Questions on LCM of 1173 and 1181
1. What is the LCM of 1173 and 1181?
Answer: LCM of 1173 and 1181 is 1385313.
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 1181?
Answer: Factors of 1181 are 1, 1181. There are 2 integers that are factors of 1181. The greatest factor of 1181 is 1181.
4. How to Find the LCM of 1173 and 1181?
Answer:
Least Common Multiple of 1173 and 1181 = 1385313
Step 1: Find the prime factorization of 1173
1173 = 3 x 17 x 23
Step 2: Find the prime factorization of 1181
1181 = 1181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1385313 = 3 x 17 x 23 x 1181
Step 4: Therefore, the least common multiple of 1173 and 1181 is 1385313.