Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2753 and 2756 the smallest integer that is 7587268 that is divisible by both numbers.
Least Common Multiple (LCM) of 2753 and 2756 is 7587268.
LCM(2753,2756) = 7587268
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 2753 and 2756. First we will calculate the prime factors of 2753 and 2756.
Prime Factorization of 2753
2753 | 2753 |
1 |
Prime factors of 2753 are 2753. Prime factorization of 2753 in exponential form is:
2753 = 27531
Prime Factorization of 2756
2 | 2756 |
2 | 1378 |
13 | 689 |
53 | 53 |
1 |
Prime factors of 2756 are 2, 13,53. Prime factorization of 2756 in exponential form is:
2756 = 22×131×531
Now multiplying the highest exponent prime factors to calculate the LCM of 2753 and 2756.
LCM(2753,2756) = 22×131×531×27531
LCM(2753,2756) = 7587268
Factors of 2753
List of positive integer factors of 2753 that divides 2753 without a remainder.
1, 2753
Factors of 2756
List of positive integer factors of 2756 that divides 2756 without a remainder.
1, 2, 4, 13, 26, 52, 53, 106, 212, 689, 1378, 2756
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2753 and 2756, than apply into the LCM equation.
GCF(2753,2756) = 1
LCM(2753,2756) = ( 2753 × 2756) / 1
LCM(2753,2756) = 7587268 / 1
LCM(2753,2756) = 7587268
(i) The LCM of 2756 and 2753 is associative
LCM of 2753 and 2756 = LCM of 2756 and 2753
1. What is the LCM of 2753 and 2756?
Answer: LCM of 2753 and 2756 is 7587268.
2. What are the Factors of 2753?
Answer: Factors of 2753 are 1, 2753. There are 2 integers that are factors of 2753. The greatest factor of 2753 is 2753.
3. What are the Factors of 2756?
Answer: Factors of 2756 are 1, 2, 4, 13, 26, 52, 53, 106, 212, 689, 1378, 2756. There are 12 integers that are factors of 2756. The greatest factor of 2756 is 2756.
4. How to Find the LCM of 2753 and 2756?
Answer:
Least Common Multiple of 2753 and 2756 = 7587268
Step 1: Find the prime factorization of 2753
2753 = 2753
Step 2: Find the prime factorization of 2756
2756 = 2 x 2 x 13 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7587268 = 2 x 2 x 13 x 53 x 2753
Step 4: Therefore, the least common multiple of 2753 and 2756 is 7587268.