Least Common Multiple of 11066 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 11066 and 11071 the smallest integer that is 122511686 that is divisible by both numbers.
Least Common Multiple (LCM) of 11066 and 11071 is 122511686.
LCM(11066,11071) = 122511686
LCM of 11066 and 11071
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 11066 and 11071 by Prime method
- Least Common Multiple of 11066 and 11071 with GCF Formula
LCM of 11066 and 11071 is 122511686
Least common multiple can be found by multiplying the highest exponent prime factors of 11066 and 11071. First we will calculate the prime factors of 11066 and 11071.
Prime Factorization of 11066
| 2 | 11066 |
| 11 | 5533 |
| 503 | 503 |
| 1 |
Prime factors of 11066 are 2, 11,503. Prime factorization of 11066 in exponential form is:
11066 = 21×111×5031
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 11066 and 11071.
LCM(11066,11071) = 21×111×5031×110711
LCM(11066,11071) = 122511686
Factors of 11066
List of positive integer factors of 11066 that divides 11066 without a remainder.
1, 2, 11, 22, 503, 1006, 5533, 11066
Factors of 11071
List of positive integer factors of 11071 that divides 11071 without a remainder.
1, 11071
Least Common Multiple of 11066 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 11066 and 11071, than apply into the LCM equation.
GCF(11066,11071) = 1
LCM(11066,11071) = ( 11066 × 11071) / 1
LCM(11066,11071) = 122511686 / 1
LCM(11066,11071) = 122511686
Properties of LCM 11066 and 11071
(i) The LCM of 11071 and 11066 is associative
LCM of 11066 and 11071 = LCM of 11071 and 11066
Related Least Common Multiples of 11066
Related Least Common Multiples of 11071
Frequently Asked Questions on LCM of 11066 and 11071
1. What is the LCM of 11066 and 11071?
Answer: LCM of 11066 and 11071 is 122511686.
2. What are the Factors of 11066?
Answer: Factors of 11066 are 1, 2, 11, 22, 503, 1006, 5533, 11066. There are 8 integers that are factors of 11066. The greatest factor of 11066 is 11066.
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 11066 and 11071?
Answer:
Least Common Multiple of 11066 and 11071 = 122511686
Step 1: Find the prime factorization of 11066
11066 = 2 x 11 x 503
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 = 122511686 = 2 x 11 x 503 x 11071
Step 4: Therefore, the least common multiple of 11066 and 11071 is 122511686.