Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2536 and 2543 the smallest integer that is 6449048 that is divisible by both numbers.
Least Common Multiple (LCM) of 2536 and 2543 is 6449048.
LCM(2536,2543) = 6449048
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2536 and 2543. First we will calculate the prime factors of 2536 and 2543.
Prime Factorization of 2536
2 | 2536 |
2 | 1268 |
2 | 634 |
317 | 317 |
1 |
Prime factors of 2536 are 2,317. Prime factorization of 2536 in exponential form is:
2536 = 23×3171
Prime Factorization of 2543
2543 | 2543 |
1 |
Prime factors of 2543 are 2543. Prime factorization of 2543 in exponential form is:
2543 = 25431
Now multiplying the highest exponent prime factors to calculate the LCM of 2536 and 2543.
LCM(2536,2543) = 23×3171×25431
LCM(2536,2543) = 6449048
Factors of 2536
List of positive integer factors of 2536 that divides 2536 without a remainder.
1, 2, 4, 8, 317, 634, 1268, 2536
Factors of 2543
List of positive integer factors of 2543 that divides 2543 without a remainder.
1, 2543
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2536 and 2543, than apply into the LCM equation.
GCF(2536,2543) = 1
LCM(2536,2543) = ( 2536 × 2543) / 1
LCM(2536,2543) = 6449048 / 1
LCM(2536,2543) = 6449048
(i) The LCM of 2543 and 2536 is associative
LCM of 2536 and 2543 = LCM of 2543 and 2536
1. What is the LCM of 2536 and 2543?
Answer: LCM of 2536 and 2543 is 6449048.
2. What are the Factors of 2536?
Answer: Factors of 2536 are 1, 2, 4, 8, 317, 634, 1268, 2536. There are 8 integers that are factors of 2536. The greatest factor of 2536 is 2536.
3. What are the Factors of 2543?
Answer: Factors of 2543 are 1, 2543. There are 2 integers that are factors of 2543. The greatest factor of 2543 is 2543.
4. How to Find the LCM of 2536 and 2543?
Answer:
Least Common Multiple of 2536 and 2543 = 6449048
Step 1: Find the prime factorization of 2536
2536 = 2 x 2 x 2 x 317
Step 2: Find the prime factorization of 2543
2543 = 2543
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6449048 = 2 x 2 x 2 x 317 x 2543
Step 4: Therefore, the least common multiple of 2536 and 2543 is 6449048.