Least Common Multiple of 7111 and 7117
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7111 and 7117 the smallest integer that is 50608987 that is divisible by both numbers.
Least Common Multiple (LCM) of 7111 and 7117 is 50608987.
LCM(7111,7117) = 50608987
LCM of 7111 and 7117
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7111 and 7117 by Prime method
- Least Common Multiple of 7111 and 7117 with GCF Formula
LCM of 7111 and 7117 is 50608987
Least common multiple can be found by multiplying the highest exponent prime factors of 7111 and 7117. First we will calculate the prime factors of 7111 and 7117.
Prime Factorization of 7111
| 13 | 7111 |
| 547 | 547 |
| 1 |
Prime factors of 7111 are 13,547. Prime factorization of 7111 in exponential form is:
7111 = 131×5471
Prime Factorization of 7117
| 11 | 7117 |
| 647 | 647 |
| 1 |
Prime factors of 7117 are 11,647. Prime factorization of 7117 in exponential form is:
7117 = 111×6471
Now multiplying the highest exponent prime factors to calculate the LCM of 7111 and 7117.
LCM(7111,7117) = 111×131×5471×6471
LCM(7111,7117) = 50608987
Factors of 7111
List of positive integer factors of 7111 that divides 7111 without a remainder.
1, 13, 547, 7111
Factors of 7117
List of positive integer factors of 7117 that divides 7117 without a remainder.
1, 11, 647, 7117
Least Common Multiple of 7111 and 7117 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7111 and 7117, than apply into the LCM equation.
GCF(7111,7117) = 1
LCM(7111,7117) = ( 7111 × 7117) / 1
LCM(7111,7117) = 50608987 / 1
LCM(7111,7117) = 50608987
Properties of LCM 7111 and 7117
(i) The LCM of 7117 and 7111 is associative
LCM of 7111 and 7117 = LCM of 7117 and 7111
Related Least Common Multiples of 7111
Related Least Common Multiples of 7117
Frequently Asked Questions on LCM of 7111 and 7117
1. What is the LCM of 7111 and 7117?
Answer: LCM of 7111 and 7117 is 50608987.
2. What are the Factors of 7111?
Answer: Factors of 7111 are 1, 13, 547, 7111. There are 4 integers that are factors of 7111. The greatest factor of 7111 is 7111.
3. What are the Factors of 7117?
Answer: Factors of 7117 are 1, 11, 647, 7117. There are 4 integers that are factors of 7117. The greatest factor of 7117 is 7117.
4. How to Find the LCM of 7111 and 7117?
Answer:
Least Common Multiple of 7111 and 7117 = 50608987
Step 1: Find the prime factorization of 7111
7111 = 13 x 547
Step 2: Find the prime factorization of 7117
7117 = 11 x 647
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50608987 = 11 x 13 x 547 x 647
Step 4: Therefore, the least common multiple of 7111 and 7117 is 50608987.