Least Common Multiple of 7107 and 7115
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 7115 the smallest integer that is 50566305 that is divisible by both numbers.
Least Common Multiple (LCM) of 7107 and 7115 is 50566305.
LCM(7107,7115) = 50566305
LCM of 7107 and 7115
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7107 and 7115 by Prime method
- Least Common Multiple of 7107 and 7115 with GCF Formula
LCM of 7107 and 7115 is 50566305
Least common multiple can be found by multiplying the highest exponent prime factors of 7107 and 7115. First we will calculate the prime factors of 7107 and 7115.
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 7115
| 5 | 7115 |
| 1423 | 1423 |
| 1 |
Prime factors of 7115 are 5,1423. Prime factorization of 7115 in exponential form is:
7115 = 51×14231
Now multiplying the highest exponent prime factors to calculate the LCM of 7107 and 7115.
LCM(7107,7115) = 31×51×231×1031×14231
LCM(7107,7115) = 50566305
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 7115
List of positive integer factors of 7115 that divides 7115 without a remainder.
1, 5, 1423, 7115
Least Common Multiple of 7107 and 7115 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 7115, than apply into the LCM equation.
GCF(7107,7115) = 1
LCM(7107,7115) = ( 7107 × 7115) / 1
LCM(7107,7115) = 50566305 / 1
LCM(7107,7115) = 50566305
Properties of LCM 7107 and 7115
(i) The LCM of 7115 and 7107 is associative
LCM of 7107 and 7115 = LCM of 7115 and 7107
Related Least Common Multiples of 7107
Related Least Common Multiples of 7115
Frequently Asked Questions on LCM of 7107 and 7115
1. What is the LCM of 7107 and 7115?
Answer: LCM of 7107 and 7115 is 50566305.
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 7115?
Answer: Factors of 7115 are 1, 5, 1423, 7115. There are 4 integers that are factors of 7115. The greatest factor of 7115 is 7115.
4. How to Find the LCM of 7107 and 7115?
Answer:
Least Common Multiple of 7107 and 7115 = 50566305
Step 1: Find the prime factorization of 7107
7107 = 3 x 23 x 103
Step 2: Find the prime factorization of 7115
7115 = 5 x 1423
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50566305 = 3 x 5 x 23 x 103 x 1423
Step 4: Therefore, the least common multiple of 7107 and 7115 is 50566305.