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 11069 the smallest integer that is 122456347 that is divisible by both numbers.
Least Common Multiple (LCM) of 11063 and 11069 is 122456347.
LCM(11063,11069) = 122456347
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 11063 and 11069. First we will calculate the prime factors of 11063 and 11069.
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 11069
11069 | 11069 |
1 |
Prime factors of 11069 are 11069. Prime factorization of 11069 in exponential form is:
11069 = 110691
Now multiplying the highest exponent prime factors to calculate the LCM of 11063 and 11069.
LCM(11063,11069) = 131×231×371×110691
LCM(11063,11069) = 122456347
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 11069
List of positive integer factors of 11069 that divides 11069 without a remainder.
1, 11069
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11063 and 11069, than apply into the LCM equation.
GCF(11063,11069) = 1
LCM(11063,11069) = ( 11063 × 11069) / 1
LCM(11063,11069) = 122456347 / 1
LCM(11063,11069) = 122456347
(i) The LCM of 11069 and 11063 is associative
LCM of 11063 and 11069 = LCM of 11069 and 11063
1. What is the LCM of 11063 and 11069?
Answer: LCM of 11063 and 11069 is 122456347.
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 11069?
Answer: Factors of 11069 are 1, 11069. There are 2 integers that are factors of 11069. The greatest factor of 11069 is 11069.
4. How to Find the LCM of 11063 and 11069?
Answer:
Least Common Multiple of 11063 and 11069 = 122456347
Step 1: Find the prime factorization of 11063
11063 = 13 x 23 x 37
Step 2: Find the prime factorization of 11069
11069 = 11069
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 122456347 = 13 x 23 x 37 x 11069
Step 4: Therefore, the least common multiple of 11063 and 11069 is 122456347.