Least Common Multiple of 2553 and 2557
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 2557 the smallest integer that is 6528021 that is divisible by both numbers.
Least Common Multiple (LCM) of 2553 and 2557 is 6528021.
LCM(2553,2557) = 6528021
LCM of 2553 and 2557
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2553 and 2557 by Prime method
- Least Common Multiple of 2553 and 2557 with GCF Formula
LCM of 2553 and 2557 is 6528021
Least common multiple can be found by multiplying the highest exponent prime factors of 2553 and 2557. First we will calculate the prime factors of 2553 and 2557.
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 2557
| 2557 | 2557 |
| 1 |
Prime factors of 2557 are 2557. Prime factorization of 2557 in exponential form is:
2557 = 25571
Now multiplying the highest exponent prime factors to calculate the LCM of 2553 and 2557.
LCM(2553,2557) = 31×231×371×25571
LCM(2553,2557) = 6528021
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 2557
List of positive integer factors of 2557 that divides 2557 without a remainder.
1, 2557
Least Common Multiple of 2553 and 2557 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 2557, than apply into the LCM equation.
GCF(2553,2557) = 1
LCM(2553,2557) = ( 2553 × 2557) / 1
LCM(2553,2557) = 6528021 / 1
LCM(2553,2557) = 6528021
Properties of LCM 2553 and 2557
(i) The LCM of 2557 and 2553 is associative
LCM of 2553 and 2557 = LCM of 2557 and 2553
Related Least Common Multiples of 2553
Related Least Common Multiples of 2557
Frequently Asked Questions on LCM of 2553 and 2557
1. What is the LCM of 2553 and 2557?
Answer: LCM of 2553 and 2557 is 6528021.
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 2557?
Answer: Factors of 2557 are 1, 2557. There are 2 integers that are factors of 2557. The greatest factor of 2557 is 2557.
4. How to Find the LCM of 2553 and 2557?
Answer:
Least Common Multiple of 2553 and 2557 = 6528021
Step 1: Find the prime factorization of 2553
2553 = 3 x 23 x 37
Step 2: Find the prime factorization of 2557
2557 = 2557
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6528021 = 3 x 23 x 37 x 2557
Step 4: Therefore, the least common multiple of 2553 and 2557 is 6528021.
