Least Common Multiple of 11067 and 11071
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 11071 the smallest integer that is 122522757 that is divisible by both numbers.
Least Common Multiple (LCM) of 11067 and 11071 is 122522757.
LCM(11067,11071) = 122522757
LCM of 11067 and 11071
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 11067 and 11071 by Prime method
- Least Common Multiple of 11067 and 11071 with GCF Formula
LCM of 11067 and 11071 is 122522757
Least common multiple can be found by multiplying the highest exponent prime factors of 11067 and 11071. First we will calculate the prime factors of 11067 and 11071.
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 11071
| 11071 | 11071 |
| 1 |
Prime factors of 11071 are 11071. Prime factorization of 11071 in exponential form is:
11071 = 110711
Now multiplying the highest exponent prime factors to calculate the LCM of 11067 and 11071.
LCM(11067,11071) = 31×71×171×311×110711
LCM(11067,11071) = 122522757
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 11071
List of positive integer factors of 11071 that divides 11071 without a remainder.
1, 11071
Least Common Multiple of 11067 and 11071 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 11071, than apply into the LCM equation.
GCF(11067,11071) = 1
LCM(11067,11071) = ( 11067 × 11071) / 1
LCM(11067,11071) = 122522757 / 1
LCM(11067,11071) = 122522757
Properties of LCM 11067 and 11071
(i) The LCM of 11071 and 11067 is associative
LCM of 11067 and 11071 = LCM of 11071 and 11067
Related Least Common Multiples of 11067
Related Least Common Multiples of 11071
Frequently Asked Questions on LCM of 11067 and 11071
1. What is the LCM of 11067 and 11071?
Answer: LCM of 11067 and 11071 is 122522757.
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 11071?
Answer: Factors of 11071 are 1, 11071. There are 2 integers that are factors of 11071. The greatest factor of 11071 is 11071.
4. How to Find the LCM of 11067 and 11071?
Answer:
Least Common Multiple of 11067 and 11071 = 122522757
Step 1: Find the prime factorization of 11067
11067 = 3 x 7 x 17 x 31
Step 2: Find the prime factorization of 11071
11071 = 11071
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 122522757 = 3 x 7 x 17 x 31 x 11071
Step 4: Therefore, the least common multiple of 11067 and 11071 is 122522757.