Least Common Multiple of 2562 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 2562 and 2563 the smallest integer that is 6566406 that is divisible by both numbers.
Least Common Multiple (LCM) of 2562 and 2563 is 6566406.
LCM(2562,2563) = 6566406
LCM of 2562 and 2563
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2562 and 2563 by Prime method
- Least Common Multiple of 2562 and 2563 with GCF Formula
LCM of 2562 and 2563 is 6566406
Least common multiple can be found by multiplying the highest exponent prime factors of 2562 and 2563. First we will calculate the prime factors of 2562 and 2563.
Prime Factorization of 2562
| 2 | 2562 |
| 3 | 1281 |
| 7 | 427 |
| 61 | 61 |
| 1 |
Prime factors of 2562 are 2, 3, 7,61. Prime factorization of 2562 in exponential form is:
2562 = 21×31×71×611
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 2562 and 2563.
LCM(2562,2563) = 21×31×71×111×611×2331
LCM(2562,2563) = 6566406
Factors of 2562
List of positive integer factors of 2562 that divides 2562 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562
Factors of 2563
List of positive integer factors of 2563 that divides 2563 without a remainder.
1, 11, 233, 2563
Least Common Multiple of 2562 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 2562 and 2563, than apply into the LCM equation.
GCF(2562,2563) = 1
LCM(2562,2563) = ( 2562 × 2563) / 1
LCM(2562,2563) = 6566406 / 1
LCM(2562,2563) = 6566406
Properties of LCM 2562 and 2563
(i) The LCM of 2563 and 2562 is associative
LCM of 2562 and 2563 = LCM of 2563 and 2562
Related Least Common Multiples of 2562
Related Least Common Multiples of 2563
Frequently Asked Questions on LCM of 2562 and 2563
1. What is the LCM of 2562 and 2563?
Answer: LCM of 2562 and 2563 is 6566406.
2. What are the Factors of 2562?
Answer: Factors of 2562 are 1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562. There are 16 integers that are factors of 2562. The greatest factor of 2562 is 2562.
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 2562 and 2563?
Answer:
Least Common Multiple of 2562 and 2563 = 6566406
Step 1: Find the prime factorization of 2562
2562 = 2 x 3 x 7 x 61
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 = 6566406 = 2 x 3 x 7 x 11 x 61 x 233
Step 4: Therefore, the least common multiple of 2562 and 2563 is 6566406.