Least Common Multiple of 2748 and 2756

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

LCM of 2748 and 2756

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2748 and 2756

LCM of 2748 and 2756 is 1893372

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

Least Common Multiple of 2748 and 2756 with GCF Formula

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

Properties of LCM 2748 and 2756

(i) The LCM of 2756 and 2748 is associative

LCM of 2748 and 2756 = LCM of 2756 and 2748

Related Least Common Multiples of 2748

Related Least Common Multiples of 2756

Frequently Asked Questions on LCM of 2748 and 2756

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.