Least Common Multiple of 2756 and 2760

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 2760 the smallest integer that is 1901640 that is divisible by both numbers.

Least Common Multiple (LCM) of 2756 and 2760 is 1901640.

LCM(2756,2760) = 1901640

LCM of 2756 and 2760

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

LCM of:
and

Least Common Multiple of 2756 and 2760

LCM of 2756 and 2760 is 1901640

Least common multiple can be found by multiplying the highest exponent prime factors of 2756 and 2760. First we will calculate the prime factors of 2756 and 2760.

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 2760


2 2760
2 1380
2 690
3 345
5 115
23 23
1

Prime factors of 2760 are 2, 3, 5,23. Prime factorization of 2760 in exponential form is:

2760 = 23×31×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2756 and 2760.

LCM(2756,2760) = 23×31×51×131×231×531
LCM(2756,2760) = 1901640

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 2760

List of positive integer factors of 2760 that divides 2760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760

Least Common Multiple of 2756 and 2760 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 2760, than apply into the LCM equation.

GCF(2756,2760) = 4
LCM(2756,2760) = ( 2756 × 2760) / 4
LCM(2756,2760) = 7606560 / 4
LCM(2756,2760) = 1901640

Properties of LCM 2756 and 2760

(i) The LCM of 2760 and 2756 is associative

LCM of 2756 and 2760 = LCM of 2760 and 2756

Related Least Common Multiples of 2756

Related Least Common Multiples of 2760

Frequently Asked Questions on LCM of 2756 and 2760

1. What is the LCM of 2756 and 2760?

Answer: LCM of 2756 and 2760 is 1901640.

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 2760?

Answer: Factors of 2760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760. There are 32 integers that are factors of 2760. The greatest factor of 2760 is 2760.

4. How to Find the LCM of 2756 and 2760?

Answer:

Least Common Multiple of 2756 and 2760 = 1901640

Step 1: Find the prime factorization of 2756

2756 = 2 x 2 x 13 x 53

Step 2: Find the prime factorization of 2760

2760 = 2 x 2 x 2 x 3 x 5 x 23

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

LCM = 1901640 = 2 x 2 x 2 x 3 x 5 x 13 x 23 x 53

Step 4: Therefore, the least common multiple of 2756 and 2760 is 1901640.