Least Common Multiple of 2756 and 2764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2756 and 2764 the smallest integer that is 1904396 that is divisible by both numbers.

Least Common Multiple (LCM) of 2756 and 2764 is 1904396.

LCM(2756,2764) = 1904396

LCM of 2756 and 2764

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

LCM of:
and

Least Common Multiple of 2756 and 2764

LCM of 2756 and 2764 is 1904396

Least common multiple can be found by multiplying the highest exponent prime factors of 2756 and 2764. First we will calculate the prime factors of 2756 and 2764.

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

Prime Factorization of 2764


2 2764
2 1382
691 691
1

Prime factors of 2764 are 2,691. Prime factorization of 2764 in exponential form is:

2764 = 22×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 2756 and 2764.

LCM(2756,2764) = 22×131×531×6911
LCM(2756,2764) = 1904396

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

Factors of 2764

List of positive integer factors of 2764 that divides 2764 without a remainder.

1, 2, 4, 691, 1382, 2764

Least Common Multiple of 2756 and 2764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2756 and 2764, than apply into the LCM equation.

GCF(2756,2764) = 4
LCM(2756,2764) = ( 2756 × 2764) / 4
LCM(2756,2764) = 7617584 / 4
LCM(2756,2764) = 1904396

Properties of LCM 2756 and 2764

(i) The LCM of 2764 and 2756 is associative

LCM of 2756 and 2764 = LCM of 2764 and 2756

Related Least Common Multiples of 2756

Related Least Common Multiples of 2764

Frequently Asked Questions on LCM of 2756 and 2764

1. What is the LCM of 2756 and 2764?

Answer: LCM of 2756 and 2764 is 1904396.

2. 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.

3. What are the Factors of 2764?

Answer: Factors of 2764 are 1, 2, 4, 691, 1382, 2764. There are 6 integers that are factors of 2764. The greatest factor of 2764 is 2764.

4. How to Find the LCM of 2756 and 2764?

Answer:

Least Common Multiple of 2756 and 2764 = 1904396

Step 1: Find the prime factorization of 2756

2756 = 2 x 2 x 13 x 53

Step 2: Find the prime factorization of 2764

2764 = 2 x 2 x 691

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1904396 = 2 x 2 x 13 x 53 x 691

Step 4: Therefore, the least common multiple of 2756 and 2764 is 1904396.