Least Common Multiple of 11063 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 11063 and 11071 the smallest integer that is 122478473 that is divisible by both numbers.
Least Common Multiple (LCM) of 11063 and 11071 is 122478473.
LCM(11063,11071) = 122478473
LCM of 11063 and 11071
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 11063 and 11071 by Prime method
- Least Common Multiple of 11063 and 11071 with GCF Formula
LCM of 11063 and 11071 is 122478473
Least common multiple can be found by multiplying the highest exponent prime factors of 11063 and 11071. First we will calculate the prime factors of 11063 and 11071.
Prime Factorization of 11063
| 13 | 11063 |
| 23 | 851 |
| 37 | 37 |
| 1 |
Prime factors of 11063 are 13, 23,37. Prime factorization of 11063 in exponential form is:
11063 = 131×231×371
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 11063 and 11071.
LCM(11063,11071) = 131×231×371×110711
LCM(11063,11071) = 122478473
Factors of 11063
List of positive integer factors of 11063 that divides 11063 without a remainder.
1, 13, 23, 37, 299, 481, 851, 11063
Factors of 11071
List of positive integer factors of 11071 that divides 11071 without a remainder.
1, 11071
Least Common Multiple of 11063 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 11063 and 11071, than apply into the LCM equation.
GCF(11063,11071) = 1
LCM(11063,11071) = ( 11063 × 11071) / 1
LCM(11063,11071) = 122478473 / 1
LCM(11063,11071) = 122478473
Properties of LCM 11063 and 11071
(i) The LCM of 11071 and 11063 is associative
LCM of 11063 and 11071 = LCM of 11071 and 11063
Related Least Common Multiples of 11063
Related Least Common Multiples of 11071
Frequently Asked Questions on LCM of 11063 and 11071
1. What is the LCM of 11063 and 11071?
Answer: LCM of 11063 and 11071 is 122478473.
2. What are the Factors of 11063?
Answer: Factors of 11063 are 1, 13, 23, 37, 299, 481, 851, 11063. There are 8 integers that are factors of 11063. The greatest factor of 11063 is 11063.
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 11063 and 11071?
Answer:
Least Common Multiple of 11063 and 11071 = 122478473
Step 1: Find the prime factorization of 11063
11063 = 13 x 23 x 37
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 = 122478473 = 13 x 23 x 37 x 11071
Step 4: Therefore, the least common multiple of 11063 and 11071 is 122478473.