Least Common Multiple of 5075 and 5083
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5075 and 5083 the smallest integer that is 25796225 that is divisible by both numbers.
Least Common Multiple (LCM) of 5075 and 5083 is 25796225.
LCM(5075,5083) = 25796225
LCM of 5075 and 5083
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5075 and 5083 by Prime method
- Least Common Multiple of 5075 and 5083 with GCF Formula
LCM of 5075 and 5083 is 25796225
Least common multiple can be found by multiplying the highest exponent prime factors of 5075 and 5083. First we will calculate the prime factors of 5075 and 5083.
Prime Factorization of 5075
| 5 | 5075 |
| 5 | 1015 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 5075 are 5, 7,29. Prime factorization of 5075 in exponential form is:
5075 = 52×71×291
Prime Factorization of 5083
| 13 | 5083 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 5083 are 13, 17,23. Prime factorization of 5083 in exponential form is:
5083 = 131×171×231
Now multiplying the highest exponent prime factors to calculate the LCM of 5075 and 5083.
LCM(5075,5083) = 52×71×131×171×231×291
LCM(5075,5083) = 25796225
Factors of 5075
List of positive integer factors of 5075 that divides 5075 without a remainder.
1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015, 5075
Factors of 5083
List of positive integer factors of 5083 that divides 5083 without a remainder.
1, 13, 17, 23, 221, 299, 391, 5083
Least Common Multiple of 5075 and 5083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5075 and 5083, than apply into the LCM equation.
GCF(5075,5083) = 1
LCM(5075,5083) = ( 5075 × 5083) / 1
LCM(5075,5083) = 25796225 / 1
LCM(5075,5083) = 25796225
Properties of LCM 5075 and 5083
(i) The LCM of 5083 and 5075 is associative
LCM of 5075 and 5083 = LCM of 5083 and 5075
Related Least Common Multiples of 5075
Related Least Common Multiples of 5083
Frequently Asked Questions on LCM of 5075 and 5083
1. What is the LCM of 5075 and 5083?
Answer: LCM of 5075 and 5083 is 25796225.
2. What are the Factors of 5075?
Answer: Factors of 5075 are 1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015, 5075. There are 12 integers that are factors of 5075. The greatest factor of 5075 is 5075.
3. What are the Factors of 5083?
Answer: Factors of 5083 are 1, 13, 17, 23, 221, 299, 391, 5083. There are 8 integers that are factors of 5083. The greatest factor of 5083 is 5083.
4. How to Find the LCM of 5075 and 5083?
Answer:
Least Common Multiple of 5075 and 5083 = 25796225
Step 1: Find the prime factorization of 5075
5075 = 5 x 5 x 7 x 29
Step 2: Find the prime factorization of 5083
5083 = 13 x 17 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25796225 = 5 x 5 x 7 x 13 x 17 x 23 x 29
Step 4: Therefore, the least common multiple of 5075 and 5083 is 25796225.