Least Common Multiple of 2750 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 2750 and 2756 the smallest integer that is 3789500 that is divisible by both numbers.

Least Common Multiple (LCM) of 2750 and 2756 is 3789500.

LCM(2750,2756) = 3789500

LCM of 2750 and 2756

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

LCM of:
and

Least Common Multiple of 2750 and 2756

LCM of 2750 and 2756 is 3789500

Least common multiple can be found by multiplying the highest exponent prime factors of 2750 and 2756. First we will calculate the prime factors of 2750 and 2756.

Prime Factorization of 2750


2 2750
5 1375
5 275
5 55
11 11
1

Prime factors of 2750 are 2, 5,11. Prime factorization of 2750 in exponential form is:

2750 = 21×53×111

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 2750 and 2756.

LCM(2750,2756) = 22×53×111×131×531
LCM(2750,2756) = 3789500

Factors of 2750

List of positive integer factors of 2750 that divides 2750 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750

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 2750 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 2750 and 2756, than apply into the LCM equation.

GCF(2750,2756) = 2
LCM(2750,2756) = ( 2750 × 2756) / 2
LCM(2750,2756) = 7579000 / 2
LCM(2750,2756) = 3789500

Properties of LCM 2750 and 2756

(i) The LCM of 2756 and 2750 is associative

LCM of 2750 and 2756 = LCM of 2756 and 2750

Related Least Common Multiples of 2750

Related Least Common Multiples of 2756

Frequently Asked Questions on LCM of 2750 and 2756

1. What is the LCM of 2750 and 2756?

Answer: LCM of 2750 and 2756 is 3789500.

2. What are the Factors of 2750?

Answer: Factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750. There are 16 integers that are factors of 2750. The greatest factor of 2750 is 2750.

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 2750 and 2756?

Answer:

Least Common Multiple of 2750 and 2756 = 3789500

Step 1: Find the prime factorization of 2750

2750 = 2 x 5 x 5 x 5 x 11

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 = 3789500 = 2 x 2 x 5 x 5 x 5 x 11 x 13 x 53

Step 4: Therefore, the least common multiple of 2750 and 2756 is 3789500.