Least Common Multiple of 7099 and 7107
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7099 and 7107 the smallest integer that is 50452593 that is divisible by both numbers.
Least Common Multiple (LCM) of 7099 and 7107 is 50452593.
LCM(7099,7107) = 50452593
LCM of 7099 and 7107
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7099 and 7107 by Prime method
- Least Common Multiple of 7099 and 7107 with GCF Formula
LCM of 7099 and 7107 is 50452593
Least common multiple can be found by multiplying the highest exponent prime factors of 7099 and 7107. First we will calculate the prime factors of 7099 and 7107.
Prime Factorization of 7099
| 31 | 7099 |
| 229 | 229 |
| 1 |
Prime factors of 7099 are 31,229. Prime factorization of 7099 in exponential form is:
7099 = 311×2291
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7099 and 7107.
LCM(7099,7107) = 31×231×311×1031×2291
LCM(7099,7107) = 50452593
Factors of 7099
List of positive integer factors of 7099 that divides 7099 without a remainder.
1, 31, 229, 7099
Factors of 7107
List of positive integer factors of 7107 that divides 7107 without a remainder.
1, 3, 23, 69, 103, 309, 2369, 7107
Least Common Multiple of 7099 and 7107 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7099 and 7107, than apply into the LCM equation.
GCF(7099,7107) = 1
LCM(7099,7107) = ( 7099 × 7107) / 1
LCM(7099,7107) = 50452593 / 1
LCM(7099,7107) = 50452593
Properties of LCM 7099 and 7107
(i) The LCM of 7107 and 7099 is associative
LCM of 7099 and 7107 = LCM of 7107 and 7099
Related Least Common Multiples of 7099
Related Least Common Multiples of 7107
Frequently Asked Questions on LCM of 7099 and 7107
1. What is the LCM of 7099 and 7107?
Answer: LCM of 7099 and 7107 is 50452593.
2. What are the Factors of 7099?
Answer: Factors of 7099 are 1, 31, 229, 7099. There are 4 integers that are factors of 7099. The greatest factor of 7099 is 7099.
3. 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.
4. How to Find the LCM of 7099 and 7107?
Answer:
Least Common Multiple of 7099 and 7107 = 50452593
Step 1: Find the prime factorization of 7099
7099 = 31 x 229
Step 2: Find the prime factorization of 7107
7107 = 3 x 23 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50452593 = 3 x 23 x 31 x 103 x 229
Step 4: Therefore, the least common multiple of 7099 and 7107 is 50452593.