Least Common Multiple of 5175 and 5183
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5175 and 5183 the smallest integer that is 26822025 that is divisible by both numbers.
Least Common Multiple (LCM) of 5175 and 5183 is 26822025.
LCM(5175,5183) = 26822025
LCM of 5175 and 5183
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5175 and 5183 by Prime method
- Least Common Multiple of 5175 and 5183 with GCF Formula
LCM of 5175 and 5183 is 26822025
Least common multiple can be found by multiplying the highest exponent prime factors of 5175 and 5183. First we will calculate the prime factors of 5175 and 5183.
Prime Factorization of 5175
| 3 | 5175 |
| 3 | 1725 |
| 5 | 575 |
| 5 | 115 |
| 23 | 23 |
| 1 |
Prime factors of 5175 are 3, 5,23. Prime factorization of 5175 in exponential form is:
5175 = 32×52×231
Prime Factorization of 5183
| 71 | 5183 |
| 73 | 73 |
| 1 |
Prime factors of 5183 are 71,73. Prime factorization of 5183 in exponential form is:
5183 = 711×731
Now multiplying the highest exponent prime factors to calculate the LCM of 5175 and 5183.
LCM(5175,5183) = 32×52×231×711×731
LCM(5175,5183) = 26822025
Factors of 5175
List of positive integer factors of 5175 that divides 5175 without a remainder.
1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175
Factors of 5183
List of positive integer factors of 5183 that divides 5183 without a remainder.
1, 71, 73, 5183
Least Common Multiple of 5175 and 5183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5175 and 5183, than apply into the LCM equation.
GCF(5175,5183) = 1
LCM(5175,5183) = ( 5175 × 5183) / 1
LCM(5175,5183) = 26822025 / 1
LCM(5175,5183) = 26822025
Properties of LCM 5175 and 5183
(i) The LCM of 5183 and 5175 is associative
LCM of 5175 and 5183 = LCM of 5183 and 5175
Related Least Common Multiples of 5175
Related Least Common Multiples of 5183
Frequently Asked Questions on LCM of 5175 and 5183
1. What is the LCM of 5175 and 5183?
Answer: LCM of 5175 and 5183 is 26822025.
2. What are the Factors of 5175?
Answer: Factors of 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175. There are 18 integers that are factors of 5175. The greatest factor of 5175 is 5175.
3. What are the Factors of 5183?
Answer: Factors of 5183 are 1, 71, 73, 5183. There are 4 integers that are factors of 5183. The greatest factor of 5183 is 5183.
4. How to Find the LCM of 5175 and 5183?
Answer:
Least Common Multiple of 5175 and 5183 = 26822025
Step 1: Find the prime factorization of 5175
5175 = 3 x 3 x 5 x 5 x 23
Step 2: Find the prime factorization of 5183
5183 = 71 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26822025 = 3 x 3 x 5 x 5 x 23 x 71 x 73
Step 4: Therefore, the least common multiple of 5175 and 5183 is 26822025.