Least Common Multiple of 2175 and 2183
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2175 and 2183 the smallest integer that is 4748025 that is divisible by both numbers.
Least Common Multiple (LCM) of 2175 and 2183 is 4748025.
LCM(2175,2183) = 4748025
LCM of 2175 and 2183
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2175 and 2183 by Prime method
- Least Common Multiple of 2175 and 2183 with GCF Formula
LCM of 2175 and 2183 is 4748025
Least common multiple can be found by multiplying the highest exponent prime factors of 2175 and 2183. First we will calculate the prime factors of 2175 and 2183.
Prime Factorization of 2175
| 3 | 2175 |
| 5 | 725 |
| 5 | 145 |
| 29 | 29 |
| 1 |
Prime factors of 2175 are 3, 5,29. Prime factorization of 2175 in exponential form is:
2175 = 31×52×291
Prime Factorization of 2183
| 37 | 2183 |
| 59 | 59 |
| 1 |
Prime factors of 2183 are 37,59. Prime factorization of 2183 in exponential form is:
2183 = 371×591
Now multiplying the highest exponent prime factors to calculate the LCM of 2175 and 2183.
LCM(2175,2183) = 31×52×291×371×591
LCM(2175,2183) = 4748025
Factors of 2175
List of positive integer factors of 2175 that divides 2175 without a remainder.
1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175
Factors of 2183
List of positive integer factors of 2183 that divides 2183 without a remainder.
1, 37, 59, 2183
Least Common Multiple of 2175 and 2183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2175 and 2183, than apply into the LCM equation.
GCF(2175,2183) = 1
LCM(2175,2183) = ( 2175 × 2183) / 1
LCM(2175,2183) = 4748025 / 1
LCM(2175,2183) = 4748025
Properties of LCM 2175 and 2183
(i) The LCM of 2183 and 2175 is associative
LCM of 2175 and 2183 = LCM of 2183 and 2175
Related Least Common Multiples of 2175
Related Least Common Multiples of 2183
Frequently Asked Questions on LCM of 2175 and 2183
1. What is the LCM of 2175 and 2183?
Answer: LCM of 2175 and 2183 is 4748025.
2. What are the Factors of 2175?
Answer: Factors of 2175 are 1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175. There are 12 integers that are factors of 2175. The greatest factor of 2175 is 2175.
3. What are the Factors of 2183?
Answer: Factors of 2183 are 1, 37, 59, 2183. There are 4 integers that are factors of 2183. The greatest factor of 2183 is 2183.
4. How to Find the LCM of 2175 and 2183?
Answer:
Least Common Multiple of 2175 and 2183 = 4748025
Step 1: Find the prime factorization of 2175
2175 = 3 x 5 x 5 x 29
Step 2: Find the prime factorization of 2183
2183 = 37 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4748025 = 3 x 5 x 5 x 29 x 37 x 59
Step 4: Therefore, the least common multiple of 2175 and 2183 is 4748025.