Least Common Multiple of 7107 and 7111
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7107 and 7111 the smallest integer that is 50537877 that is divisible by both numbers.
Least Common Multiple (LCM) of 7107 and 7111 is 50537877.
LCM(7107,7111) = 50537877
LCM of 7107 and 7111
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7107 and 7111 by Prime method
- Least Common Multiple of 7107 and 7111 with GCF Formula
LCM of 7107 and 7111 is 50537877
Least common multiple can be found by multiplying the highest exponent prime factors of 7107 and 7111. First we will calculate the prime factors of 7107 and 7111.
Prime Factorization of 7107
| 3 | 7107 |
| 23 | 2369 |
| 103 | 103 |
| 1 |
Prime factors of 7107 are 3, 23,103. Prime factorization of 7107 in exponential form is:
7107 = 31×231×1031
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7107 and 7111.
LCM(7107,7111) = 31×131×231×1031×5471
LCM(7107,7111) = 50537877
Factors of 7107
List of positive integer factors of 7107 that divides 7107 without a remainder.
1, 3, 23, 69, 103, 309, 2369, 7107
Factors of 7111
List of positive integer factors of 7111 that divides 7111 without a remainder.
1, 13, 547, 7111
Least Common Multiple of 7107 and 7111 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7107 and 7111, than apply into the LCM equation.
GCF(7107,7111) = 1
LCM(7107,7111) = ( 7107 × 7111) / 1
LCM(7107,7111) = 50537877 / 1
LCM(7107,7111) = 50537877
Properties of LCM 7107 and 7111
(i) The LCM of 7111 and 7107 is associative
LCM of 7107 and 7111 = LCM of 7111 and 7107
Related Least Common Multiples of 7107
Related Least Common Multiples of 7111
Frequently Asked Questions on LCM of 7107 and 7111
1. What is the LCM of 7107 and 7111?
Answer: LCM of 7107 and 7111 is 50537877.
2. What are the Factors of 7107?
Answer: Factors of 7107 are 1, 3, 23, 69, 103, 309, 2369, 7107. There are 8 integers that are factors of 7107. The greatest factor of 7107 is 7107.
3. 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.
4. How to Find the LCM of 7107 and 7111?
Answer:
Least Common Multiple of 7107 and 7111 = 50537877
Step 1: Find the prime factorization of 7107
7107 = 3 x 23 x 103
Step 2: Find the prime factorization of 7111
7111 = 13 x 547
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50537877 = 3 x 13 x 23 x 103 x 547
Step 4: Therefore, the least common multiple of 7107 and 7111 is 50537877.