Least Common Multiple of 7107 and 7113
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 7113 the smallest integer that is 16850697 that is divisible by both numbers.
Least Common Multiple (LCM) of 7107 and 7113 is 16850697.
LCM(7107,7113) = 16850697
LCM of 7107 and 7113
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7107 and 7113 by Prime method
- Least Common Multiple of 7107 and 7113 with GCF Formula
LCM of 7107 and 7113 is 16850697
Least common multiple can be found by multiplying the highest exponent prime factors of 7107 and 7113. First we will calculate the prime factors of 7107 and 7113.
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 7113
| 3 | 7113 |
| 2371 | 2371 |
| 1 |
Prime factors of 7113 are 3,2371. Prime factorization of 7113 in exponential form is:
7113 = 31×23711
Now multiplying the highest exponent prime factors to calculate the LCM of 7107 and 7113.
LCM(7107,7113) = 31×231×1031×23711
LCM(7107,7113) = 16850697
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 7113
List of positive integer factors of 7113 that divides 7113 without a remainder.
1, 3, 2371, 7113
Least Common Multiple of 7107 and 7113 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 7113, than apply into the LCM equation.
GCF(7107,7113) = 3
LCM(7107,7113) = ( 7107 × 7113) / 3
LCM(7107,7113) = 50552091 / 3
LCM(7107,7113) = 16850697
Properties of LCM 7107 and 7113
(i) The LCM of 7113 and 7107 is associative
LCM of 7107 and 7113 = LCM of 7113 and 7107
Related Least Common Multiples of 7107
Related Least Common Multiples of 7113
Frequently Asked Questions on LCM of 7107 and 7113
1. What is the LCM of 7107 and 7113?
Answer: LCM of 7107 and 7113 is 16850697.
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 7113?
Answer: Factors of 7113 are 1, 3, 2371, 7113. There are 4 integers that are factors of 7113. The greatest factor of 7113 is 7113.
4. How to Find the LCM of 7107 and 7113?
Answer:
Least Common Multiple of 7107 and 7113 = 16850697
Step 1: Find the prime factorization of 7107
7107 = 3 x 23 x 103
Step 2: Find the prime factorization of 7113
7113 = 3 x 2371
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16850697 = 3 x 23 x 103 x 2371
Step 4: Therefore, the least common multiple of 7107 and 7113 is 16850697.