Least Common Multiple of 2555 and 2563
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2555 and 2563 the smallest integer that is 6548465 that is divisible by both numbers.
Least Common Multiple (LCM) of 2555 and 2563 is 6548465.
LCM(2555,2563) = 6548465
LCM of 2555 and 2563
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2555 and 2563 by Prime method
- Least Common Multiple of 2555 and 2563 with GCF Formula
LCM of 2555 and 2563 is 6548465
Least common multiple can be found by multiplying the highest exponent prime factors of 2555 and 2563. First we will calculate the prime factors of 2555 and 2563.
Prime Factorization of 2555
| 5 | 2555 |
| 7 | 511 |
| 73 | 73 |
| 1 |
Prime factors of 2555 are 5, 7,73. Prime factorization of 2555 in exponential form is:
2555 = 51×71×731
Prime Factorization of 2563
| 11 | 2563 |
| 233 | 233 |
| 1 |
Prime factors of 2563 are 11,233. Prime factorization of 2563 in exponential form is:
2563 = 111×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 2555 and 2563.
LCM(2555,2563) = 51×71×111×731×2331
LCM(2555,2563) = 6548465
Factors of 2555
List of positive integer factors of 2555 that divides 2555 without a remainder.
1, 5, 7, 35, 73, 365, 511, 2555
Factors of 2563
List of positive integer factors of 2563 that divides 2563 without a remainder.
1, 11, 233, 2563
Least Common Multiple of 2555 and 2563 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2555 and 2563, than apply into the LCM equation.
GCF(2555,2563) = 1
LCM(2555,2563) = ( 2555 × 2563) / 1
LCM(2555,2563) = 6548465 / 1
LCM(2555,2563) = 6548465
Properties of LCM 2555 and 2563
(i) The LCM of 2563 and 2555 is associative
LCM of 2555 and 2563 = LCM of 2563 and 2555
Related Least Common Multiples of 2555
Related Least Common Multiples of 2563
Frequently Asked Questions on LCM of 2555 and 2563
1. What is the LCM of 2555 and 2563?
Answer: LCM of 2555 and 2563 is 6548465.
2. What are the Factors of 2555?
Answer: Factors of 2555 are 1, 5, 7, 35, 73, 365, 511, 2555. There are 8 integers that are factors of 2555. The greatest factor of 2555 is 2555.
3. What are the Factors of 2563?
Answer: Factors of 2563 are 1, 11, 233, 2563. There are 4 integers that are factors of 2563. The greatest factor of 2563 is 2563.
4. How to Find the LCM of 2555 and 2563?
Answer:
Least Common Multiple of 2555 and 2563 = 6548465
Step 1: Find the prime factorization of 2555
2555 = 5 x 7 x 73
Step 2: Find the prime factorization of 2563
2563 = 11 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6548465 = 5 x 7 x 11 x 73 x 233
Step 4: Therefore, the least common multiple of 2555 and 2563 is 6548465.