Least Common Multiple of 2553 and 2561
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 2561 the smallest integer that is 6538233 that is divisible by both numbers.
Least Common Multiple (LCM) of 2553 and 2561 is 6538233.
LCM(2553,2561) = 6538233
LCM of 2553 and 2561
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2553 and 2561 by Prime method
- Least Common Multiple of 2553 and 2561 with GCF Formula
LCM of 2553 and 2561 is 6538233
Least common multiple can be found by multiplying the highest exponent prime factors of 2553 and 2561. First we will calculate the prime factors of 2553 and 2561.
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 2561
| 13 | 2561 |
| 197 | 197 |
| 1 |
Prime factors of 2561 are 13,197. Prime factorization of 2561 in exponential form is:
2561 = 131×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 2553 and 2561.
LCM(2553,2561) = 31×131×231×371×1971
LCM(2553,2561) = 6538233
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 2561
List of positive integer factors of 2561 that divides 2561 without a remainder.
1, 13, 197, 2561
Least Common Multiple of 2553 and 2561 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 2561, than apply into the LCM equation.
GCF(2553,2561) = 1
LCM(2553,2561) = ( 2553 × 2561) / 1
LCM(2553,2561) = 6538233 / 1
LCM(2553,2561) = 6538233
Properties of LCM 2553 and 2561
(i) The LCM of 2561 and 2553 is associative
LCM of 2553 and 2561 = LCM of 2561 and 2553
Related Least Common Multiples of 2553
Related Least Common Multiples of 2561
Frequently Asked Questions on LCM of 2553 and 2561
1. What is the LCM of 2553 and 2561?
Answer: LCM of 2553 and 2561 is 6538233.
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 2561?
Answer: Factors of 2561 are 1, 13, 197, 2561. There are 4 integers that are factors of 2561. The greatest factor of 2561 is 2561.
4. How to Find the LCM of 2553 and 2561?
Answer:
Least Common Multiple of 2553 and 2561 = 6538233
Step 1: Find the prime factorization of 2553
2553 = 3 x 23 x 37
Step 2: Find the prime factorization of 2561
2561 = 13 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6538233 = 3 x 13 x 23 x 37 x 197
Step 4: Therefore, the least common multiple of 2553 and 2561 is 6538233.
