Least Common Multiple of 11039 and 11047
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 11039 and 11047 the smallest integer that is 121947833 that is divisible by both numbers.
Least Common Multiple (LCM) of 11039 and 11047 is 121947833.
LCM(11039,11047) = 121947833
LCM of 11039 and 11047
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 11039 and 11047 by Prime method
- Least Common Multiple of 11039 and 11047 with GCF Formula
LCM of 11039 and 11047 is 121947833
Least common multiple can be found by multiplying the highest exponent prime factors of 11039 and 11047. First we will calculate the prime factors of 11039 and 11047.
Prime Factorization of 11039
| 7 | 11039 |
| 19 | 1577 |
| 83 | 83 |
| 1 |
Prime factors of 11039 are 7, 19,83. Prime factorization of 11039 in exponential form is:
11039 = 71×191×831
Prime Factorization of 11047
| 11047 | 11047 |
| 1 |
Prime factors of 11047 are 11047. Prime factorization of 11047 in exponential form is:
11047 = 110471
Now multiplying the highest exponent prime factors to calculate the LCM of 11039 and 11047.
LCM(11039,11047) = 71×191×831×110471
LCM(11039,11047) = 121947833
Factors of 11039
List of positive integer factors of 11039 that divides 11039 without a remainder.
1, 7, 19, 83, 133, 581, 1577, 11039
Factors of 11047
List of positive integer factors of 11047 that divides 11047 without a remainder.
1, 11047
Least Common Multiple of 11039 and 11047 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11039 and 11047, than apply into the LCM equation.
GCF(11039,11047) = 1
LCM(11039,11047) = ( 11039 × 11047) / 1
LCM(11039,11047) = 121947833 / 1
LCM(11039,11047) = 121947833
Properties of LCM 11039 and 11047
(i) The LCM of 11047 and 11039 is associative
LCM of 11039 and 11047 = LCM of 11047 and 11039
Related Least Common Multiples of 11039
Related Least Common Multiples of 11047
Frequently Asked Questions on LCM of 11039 and 11047
1. What is the LCM of 11039 and 11047?
Answer: LCM of 11039 and 11047 is 121947833.
2. What are the Factors of 11039?
Answer: Factors of 11039 are 1, 7, 19, 83, 133, 581, 1577, 11039. There are 8 integers that are factors of 11039. The greatest factor of 11039 is 11039.
3. What are the Factors of 11047?
Answer: Factors of 11047 are 1, 11047. There are 2 integers that are factors of 11047. The greatest factor of 11047 is 11047.
4. How to Find the LCM of 11039 and 11047?
Answer:
Least Common Multiple of 11039 and 11047 = 121947833
Step 1: Find the prime factorization of 11039
11039 = 7 x 19 x 83
Step 2: Find the prime factorization of 11047
11047 = 11047
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 121947833 = 7 x 19 x 83 x 11047
Step 4: Therefore, the least common multiple of 11039 and 11047 is 121947833.