Least Common Multiple of 2275 and 2279
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2275 and 2279 the smallest integer that is 5184725 that is divisible by both numbers.
Least Common Multiple (LCM) of 2275 and 2279 is 5184725.
LCM(2275,2279) = 5184725
LCM of 2275 and 2279
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2275 and 2279 by Prime method
- Least Common Multiple of 2275 and 2279 with GCF Formula
LCM of 2275 and 2279 is 5184725
Least common multiple can be found by multiplying the highest exponent prime factors of 2275 and 2279. First we will calculate the prime factors of 2275 and 2279.
Prime Factorization of 2275
| 5 | 2275 |
| 5 | 455 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 2275 are 5, 7,13. Prime factorization of 2275 in exponential form is:
2275 = 52×71×131
Prime Factorization of 2279
| 43 | 2279 |
| 53 | 53 |
| 1 |
Prime factors of 2279 are 43,53. Prime factorization of 2279 in exponential form is:
2279 = 431×531
Now multiplying the highest exponent prime factors to calculate the LCM of 2275 and 2279.
LCM(2275,2279) = 52×71×131×431×531
LCM(2275,2279) = 5184725
Factors of 2275
List of positive integer factors of 2275 that divides 2275 without a remainder.
1, 5, 7, 13, 25, 35, 65, 91, 175, 325, 455, 2275
Factors of 2279
List of positive integer factors of 2279 that divides 2279 without a remainder.
1, 43, 53, 2279
Least Common Multiple of 2275 and 2279 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2275 and 2279, than apply into the LCM equation.
GCF(2275,2279) = 1
LCM(2275,2279) = ( 2275 × 2279) / 1
LCM(2275,2279) = 5184725 / 1
LCM(2275,2279) = 5184725
Properties of LCM 2275 and 2279
(i) The LCM of 2279 and 2275 is associative
LCM of 2275 and 2279 = LCM of 2279 and 2275
Related Least Common Multiples of 2275
Related Least Common Multiples of 2279
Frequently Asked Questions on LCM of 2275 and 2279
1. What is the LCM of 2275 and 2279?
Answer: LCM of 2275 and 2279 is 5184725.
2. What are the Factors of 2275?
Answer: Factors of 2275 are 1, 5, 7, 13, 25, 35, 65, 91, 175, 325, 455, 2275. There are 12 integers that are factors of 2275. The greatest factor of 2275 is 2275.
3. What are the Factors of 2279?
Answer: Factors of 2279 are 1, 43, 53, 2279. There are 4 integers that are factors of 2279. The greatest factor of 2279 is 2279.
4. How to Find the LCM of 2275 and 2279?
Answer:
Least Common Multiple of 2275 and 2279 = 5184725
Step 1: Find the prime factorization of 2275
2275 = 5 x 5 x 7 x 13
Step 2: Find the prime factorization of 2279
2279 = 43 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5184725 = 5 x 5 x 7 x 13 x 43 x 53
Step 4: Therefore, the least common multiple of 2275 and 2279 is 5184725.