Least Common Multiple of 1167 and 1175
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1167 and 1175 the smallest integer that is 1371225 that is divisible by both numbers.
Least Common Multiple (LCM) of 1167 and 1175 is 1371225.
LCM(1167,1175) = 1371225
LCM of 1167 and 1175
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1167 and 1175 by Prime method
- Least Common Multiple of 1167 and 1175 with GCF Formula
LCM of 1167 and 1175 is 1371225
Least common multiple can be found by multiplying the highest exponent prime factors of 1167 and 1175. First we will calculate the prime factors of 1167 and 1175.
Prime Factorization of 1167
| 3 | 1167 |
| 389 | 389 |
| 1 |
Prime factors of 1167 are 3,389. Prime factorization of 1167 in exponential form is:
1167 = 31×3891
Prime Factorization of 1175
| 5 | 1175 |
| 5 | 235 |
| 47 | 47 |
| 1 |
Prime factors of 1175 are 5,47. Prime factorization of 1175 in exponential form is:
1175 = 52×471
Now multiplying the highest exponent prime factors to calculate the LCM of 1167 and 1175.
LCM(1167,1175) = 31×52×471×3891
LCM(1167,1175) = 1371225
Factors of 1167
List of positive integer factors of 1167 that divides 1167 without a remainder.
1, 3, 389, 1167
Factors of 1175
List of positive integer factors of 1175 that divides 1175 without a remainder.
1, 5, 25, 47, 235, 1175
Least Common Multiple of 1167 and 1175 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1167 and 1175, than apply into the LCM equation.
GCF(1167,1175) = 1
LCM(1167,1175) = ( 1167 × 1175) / 1
LCM(1167,1175) = 1371225 / 1
LCM(1167,1175) = 1371225
Properties of LCM 1167 and 1175
(i) The LCM of 1175 and 1167 is associative
LCM of 1167 and 1175 = LCM of 1175 and 1167
Related Least Common Multiples of 1167
Related Least Common Multiples of 1175
Frequently Asked Questions on LCM of 1167 and 1175
1. What is the LCM of 1167 and 1175?
Answer: LCM of 1167 and 1175 is 1371225.
2. What are the Factors of 1167?
Answer: Factors of 1167 are 1, 3, 389, 1167. There are 4 integers that are factors of 1167. The greatest factor of 1167 is 1167.
3. What are the Factors of 1175?
Answer: Factors of 1175 are 1, 5, 25, 47, 235, 1175. There are 6 integers that are factors of 1175. The greatest factor of 1175 is 1175.
4. How to Find the LCM of 1167 and 1175?
Answer:
Least Common Multiple of 1167 and 1175 = 1371225
Step 1: Find the prime factorization of 1167
1167 = 3 x 389
Step 2: Find the prime factorization of 1175
1175 = 5 x 5 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1371225 = 3 x 5 x 5 x 47 x 389
Step 4: Therefore, the least common multiple of 1167 and 1175 is 1371225.