Least Common Multiple of 2875 and 2883
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2875 and 2883 the smallest integer that is 8288625 that is divisible by both numbers.
Least Common Multiple (LCM) of 2875 and 2883 is 8288625.
LCM(2875,2883) = 8288625
LCM of 2875 and 2883
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2875 and 2883 by Prime method
- Least Common Multiple of 2875 and 2883 with GCF Formula
LCM of 2875 and 2883 is 8288625
Least common multiple can be found by multiplying the highest exponent prime factors of 2875 and 2883. First we will calculate the prime factors of 2875 and 2883.
Prime Factorization of 2875
| 5 | 2875 |
| 5 | 575 |
| 5 | 115 |
| 23 | 23 |
| 1 |
Prime factors of 2875 are 5,23. Prime factorization of 2875 in exponential form is:
2875 = 53×231
Prime Factorization of 2883
| 3 | 2883 |
| 31 | 961 |
| 31 | 31 |
| 1 |
Prime factors of 2883 are 3,31. Prime factorization of 2883 in exponential form is:
2883 = 31×312
Now multiplying the highest exponent prime factors to calculate the LCM of 2875 and 2883.
LCM(2875,2883) = 31×53×231×312
LCM(2875,2883) = 8288625
Factors of 2875
List of positive integer factors of 2875 that divides 2875 without a remainder.
1, 5, 23, 25, 115, 125, 575, 2875
Factors of 2883
List of positive integer factors of 2883 that divides 2883 without a remainder.
1, 3, 31, 93, 961, 2883
Least Common Multiple of 2875 and 2883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2875 and 2883, than apply into the LCM equation.
GCF(2875,2883) = 1
LCM(2875,2883) = ( 2875 × 2883) / 1
LCM(2875,2883) = 8288625 / 1
LCM(2875,2883) = 8288625
Properties of LCM 2875 and 2883
(i) The LCM of 2883 and 2875 is associative
LCM of 2875 and 2883 = LCM of 2883 and 2875
Related Least Common Multiples of 2875
Related Least Common Multiples of 2883
Frequently Asked Questions on LCM of 2875 and 2883
1. What is the LCM of 2875 and 2883?
Answer: LCM of 2875 and 2883 is 8288625.
2. What are the Factors of 2875?
Answer: Factors of 2875 are 1, 5, 23, 25, 115, 125, 575, 2875. There are 8 integers that are factors of 2875. The greatest factor of 2875 is 2875.
3. What are the Factors of 2883?
Answer: Factors of 2883 are 1, 3, 31, 93, 961, 2883. There are 6 integers that are factors of 2883. The greatest factor of 2883 is 2883.
4. How to Find the LCM of 2875 and 2883?
Answer:
Least Common Multiple of 2875 and 2883 = 8288625
Step 1: Find the prime factorization of 2875
2875 = 5 x 5 x 5 x 23
Step 2: Find the prime factorization of 2883
2883 = 3 x 31 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8288625 = 3 x 5 x 5 x 5 x 23 x 31 x 31
Step 4: Therefore, the least common multiple of 2875 and 2883 is 8288625.