Least Common Multiple of 2553 and 2558
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2553 and 2558 the smallest integer that is 6530574 that is divisible by both numbers.
Least Common Multiple (LCM) of 2553 and 2558 is 6530574.
LCM(2553,2558) = 6530574
LCM of 2553 and 2558
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2553 and 2558 by Prime method
- Least Common Multiple of 2553 and 2558 with GCF Formula
LCM of 2553 and 2558 is 6530574
Least common multiple can be found by multiplying the highest exponent prime factors of 2553 and 2558. First we will calculate the prime factors of 2553 and 2558.
Prime Factorization of 2553
| 3 | 2553 |
| 23 | 851 |
| 37 | 37 |
| 1 |
Prime factors of 2553 are 3, 23,37. Prime factorization of 2553 in exponential form is:
2553 = 31×231×371
Prime Factorization of 2558
| 2 | 2558 |
| 1279 | 1279 |
| 1 |
Prime factors of 2558 are 2,1279. Prime factorization of 2558 in exponential form is:
2558 = 21×12791
Now multiplying the highest exponent prime factors to calculate the LCM of 2553 and 2558.
LCM(2553,2558) = 21×31×231×371×12791
LCM(2553,2558) = 6530574
Factors of 2553
List of positive integer factors of 2553 that divides 2553 without a remainder.
1, 3, 23, 37, 69, 111, 851, 2553
Factors of 2558
List of positive integer factors of 2558 that divides 2558 without a remainder.
1, 2, 1279, 2558
Least Common Multiple of 2553 and 2558 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2553 and 2558, than apply into the LCM equation.
GCF(2553,2558) = 1
LCM(2553,2558) = ( 2553 × 2558) / 1
LCM(2553,2558) = 6530574 / 1
LCM(2553,2558) = 6530574
Properties of LCM 2553 and 2558
(i) The LCM of 2558 and 2553 is associative
LCM of 2553 and 2558 = LCM of 2558 and 2553
Related Least Common Multiples of 2553
Related Least Common Multiples of 2558
Frequently Asked Questions on LCM of 2553 and 2558
1. What is the LCM of 2553 and 2558?
Answer: LCM of 2553 and 2558 is 6530574.
2. What are the Factors of 2553?
Answer: Factors of 2553 are 1, 3, 23, 37, 69, 111, 851, 2553. There are 8 integers that are factors of 2553. The greatest factor of 2553 is 2553.
3. What are the Factors of 2558?
Answer: Factors of 2558 are 1, 2, 1279, 2558. There are 4 integers that are factors of 2558. The greatest factor of 2558 is 2558.
4. How to Find the LCM of 2553 and 2558?
Answer:
Least Common Multiple of 2553 and 2558 = 6530574
Step 1: Find the prime factorization of 2553
2553 = 3 x 23 x 37
Step 2: Find the prime factorization of 2558
2558 = 2 x 1279
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6530574 = 2 x 3 x 23 x 37 x 1279
Step 4: Therefore, the least common multiple of 2553 and 2558 is 6530574.