Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2748 and 2756 the smallest integer that is 1893372 that is divisible by both numbers.
Least Common Multiple (LCM) of 2748 and 2756 is 1893372.
LCM(2748,2756) = 1893372
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 2748 and 2756. First we will calculate the prime factors of 2748 and 2756.
Prime Factorization of 2748
2 | 2748 |
2 | 1374 |
3 | 687 |
229 | 229 |
1 |
Prime factors of 2748 are 2, 3,229. Prime factorization of 2748 in exponential form is:
2748 = 22×31×2291
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 2748 and 2756.
LCM(2748,2756) = 22×31×131×531×2291
LCM(2748,2756) = 1893372
Factors of 2748
List of positive integer factors of 2748 that divides 2748 without a remainder.
1, 2, 3, 4, 6, 12, 229, 458, 687, 916, 1374, 2748
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 2748 and 2756, than apply into the LCM equation.
GCF(2748,2756) = 4
LCM(2748,2756) = ( 2748 × 2756) / 4
LCM(2748,2756) = 7573488 / 4
LCM(2748,2756) = 1893372
(i) The LCM of 2756 and 2748 is associative
LCM of 2748 and 2756 = LCM of 2756 and 2748
1. What is the LCM of 2748 and 2756?
Answer: LCM of 2748 and 2756 is 1893372.
2. What are the Factors of 2748?
Answer: Factors of 2748 are 1, 2, 3, 4, 6, 12, 229, 458, 687, 916, 1374, 2748. There are 12 integers that are factors of 2748. The greatest factor of 2748 is 2748.
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 2748 and 2756?
Answer:
Least Common Multiple of 2748 and 2756 = 1893372
Step 1: Find the prime factorization of 2748
2748 = 2 x 2 x 3 x 229
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 = 1893372 = 2 x 2 x 3 x 13 x 53 x 229
Step 4: Therefore, the least common multiple of 2748 and 2756 is 1893372.