Least Common Multiple of 11071 and 11078
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 11071 and 11078 the smallest integer that is 122644538 that is divisible by both numbers.
Least Common Multiple (LCM) of 11071 and 11078 is 122644538.
LCM(11071,11078) = 122644538
LCM of 11071 and 11078
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 11071 and 11078 by Prime method
- Least Common Multiple of 11071 and 11078 with GCF Formula
LCM of 11071 and 11078 is 122644538
Least common multiple can be found by multiplying the highest exponent prime factors of 11071 and 11078. First we will calculate the prime factors of 11071 and 11078.
Prime Factorization of 11071
| 11071 | 11071 |
| 1 |
Prime factors of 11071 are 11071. Prime factorization of 11071 in exponential form is:
11071 = 110711
Prime Factorization of 11078
| 2 | 11078 |
| 29 | 5539 |
| 191 | 191 |
| 1 |
Prime factors of 11078 are 2, 29,191. Prime factorization of 11078 in exponential form is:
11078 = 21×291×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 11071 and 11078.
LCM(11071,11078) = 21×291×1911×110711
LCM(11071,11078) = 122644538
Factors of 11071
List of positive integer factors of 11071 that divides 11071 without a remainder.
1, 11071
Factors of 11078
List of positive integer factors of 11078 that divides 11078 without a remainder.
1, 2, 29, 58, 191, 382, 5539, 11078
Least Common Multiple of 11071 and 11078 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11071 and 11078, than apply into the LCM equation.
GCF(11071,11078) = 1
LCM(11071,11078) = ( 11071 × 11078) / 1
LCM(11071,11078) = 122644538 / 1
LCM(11071,11078) = 122644538
Properties of LCM 11071 and 11078
(i) The LCM of 11078 and 11071 is associative
LCM of 11071 and 11078 = LCM of 11078 and 11071
Related Least Common Multiples of 11071
Related Least Common Multiples of 11078
Frequently Asked Questions on LCM of 11071 and 11078
1. What is the LCM of 11071 and 11078?
Answer: LCM of 11071 and 11078 is 122644538.
2. 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.
3. What are the Factors of 11078?
Answer: Factors of 11078 are 1, 2, 29, 58, 191, 382, 5539, 11078. There are 8 integers that are factors of 11078. The greatest factor of 11078 is 11078.
4. How to Find the LCM of 11071 and 11078?
Answer:
Least Common Multiple of 11071 and 11078 = 122644538
Step 1: Find the prime factorization of 11071
11071 = 11071
Step 2: Find the prime factorization of 11078
11078 = 2 x 29 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 122644538 = 2 x 29 x 191 x 11071
Step 4: Therefore, the least common multiple of 11071 and 11078 is 122644538.