Least Common Multiple of 2728 and 2730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2728 and 2730 the smallest integer that is 3723720 that is divisible by both numbers.

Least Common Multiple (LCM) of 2728 and 2730 is 3723720.

LCM(2728,2730) = 3723720

LCM of 2728 and 2730

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

LCM of:
and

Least Common Multiple of 2728 and 2730

LCM of 2728 and 2730 is 3723720

Least common multiple can be found by multiplying the highest exponent prime factors of 2728 and 2730. First we will calculate the prime factors of 2728 and 2730.

Prime Factorization of 2728


2 2728
2 1364
2 682
11 341
31 31
1

Prime factors of 2728 are 2, 11,31. Prime factorization of 2728 in exponential form is:

2728 = 23×111×311

Prime Factorization of 2730


2 2730
3 1365
5 455
7 91
13 13
1

Prime factors of 2730 are 2, 3, 5, 7,13. Prime factorization of 2730 in exponential form is:

2730 = 21×31×51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2728 and 2730.

LCM(2728,2730) = 23×31×51×71×111×131×311
LCM(2728,2730) = 3723720

Factors of 2728

List of positive integer factors of 2728 that divides 2728 without a remainder.

1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364, 2728

Factors of 2730

List of positive integer factors of 2730 that divides 2730 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730

Least Common Multiple of 2728 and 2730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2728 and 2730, than apply into the LCM equation.

GCF(2728,2730) = 2
LCM(2728,2730) = ( 2728 × 2730) / 2
LCM(2728,2730) = 7447440 / 2
LCM(2728,2730) = 3723720

Properties of LCM 2728 and 2730

(i) The LCM of 2730 and 2728 is associative

LCM of 2728 and 2730 = LCM of 2730 and 2728

Related Least Common Multiples of 2728

Related Least Common Multiples of 2730

Frequently Asked Questions on LCM of 2728 and 2730

1. What is the LCM of 2728 and 2730?

Answer: LCM of 2728 and 2730 is 3723720.

2. What are the Factors of 2728?

Answer: Factors of 2728 are 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364, 2728. There are 16 integers that are factors of 2728. The greatest factor of 2728 is 2728.

3. What are the Factors of 2730?

Answer: Factors of 2730 are 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730. There are 32 integers that are factors of 2730. The greatest factor of 2730 is 2730.

4. How to Find the LCM of 2728 and 2730?

Answer:

Least Common Multiple of 2728 and 2730 = 3723720

Step 1: Find the prime factorization of 2728

2728 = 2 x 2 x 2 x 11 x 31

Step 2: Find the prime factorization of 2730

2730 = 2 x 3 x 5 x 7 x 13

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

LCM = 3723720 = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 x 31

Step 4: Therefore, the least common multiple of 2728 and 2730 is 3723720.