Least Common Multiple of 11067 and 11075
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 11067 and 11075 the smallest integer that is 122567025 that is divisible by both numbers.
Least Common Multiple (LCM) of 11067 and 11075 is 122567025.
LCM(11067,11075) = 122567025
LCM of 11067 and 11075
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 11067 and 11075 by Prime method
- Least Common Multiple of 11067 and 11075 with GCF Formula
LCM of 11067 and 11075 is 122567025
Least common multiple can be found by multiplying the highest exponent prime factors of 11067 and 11075. First we will calculate the prime factors of 11067 and 11075.
Prime Factorization of 11067
| 3 | 11067 |
| 7 | 3689 |
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 11067 are 3, 7, 17,31. Prime factorization of 11067 in exponential form is:
11067 = 31×71×171×311
Prime Factorization of 11075
| 5 | 11075 |
| 5 | 2215 |
| 443 | 443 |
| 1 |
Prime factors of 11075 are 5,443. Prime factorization of 11075 in exponential form is:
11075 = 52×4431
Now multiplying the highest exponent prime factors to calculate the LCM of 11067 and 11075.
LCM(11067,11075) = 31×52×71×171×311×4431
LCM(11067,11075) = 122567025
Factors of 11067
List of positive integer factors of 11067 that divides 11067 without a remainder.
1, 3, 7, 17, 21, 31, 51, 93, 119, 217, 357, 527, 651, 1581, 3689, 11067
Factors of 11075
List of positive integer factors of 11075 that divides 11075 without a remainder.
1, 5, 25, 443, 2215, 11075
Least Common Multiple of 11067 and 11075 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11067 and 11075, than apply into the LCM equation.
GCF(11067,11075) = 1
LCM(11067,11075) = ( 11067 × 11075) / 1
LCM(11067,11075) = 122567025 / 1
LCM(11067,11075) = 122567025
Properties of LCM 11067 and 11075
(i) The LCM of 11075 and 11067 is associative
LCM of 11067 and 11075 = LCM of 11075 and 11067
Related Least Common Multiples of 11067
Related Least Common Multiples of 11075
Frequently Asked Questions on LCM of 11067 and 11075
1. What is the LCM of 11067 and 11075?
Answer: LCM of 11067 and 11075 is 122567025.
2. What are the Factors of 11067?
Answer: Factors of 11067 are 1, 3, 7, 17, 21, 31, 51, 93, 119, 217, 357, 527, 651, 1581, 3689, 11067. There are 16 integers that are factors of 11067. The greatest factor of 11067 is 11067.
3. What are the Factors of 11075?
Answer: Factors of 11075 are 1, 5, 25, 443, 2215, 11075. There are 6 integers that are factors of 11075. The greatest factor of 11075 is 11075.
4. How to Find the LCM of 11067 and 11075?
Answer:
Least Common Multiple of 11067 and 11075 = 122567025
Step 1: Find the prime factorization of 11067
11067 = 3 x 7 x 17 x 31
Step 2: Find the prime factorization of 11075
11075 = 5 x 5 x 443
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 122567025 = 3 x 5 x 5 x 7 x 17 x 31 x 443
Step 4: Therefore, the least common multiple of 11067 and 11075 is 122567025.