Least Common Multiple of 2723 and 2728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2723 and 2728 the smallest integer that is 7428344 that is divisible by both numbers.

Least Common Multiple (LCM) of 2723 and 2728 is 7428344.

LCM(2723,2728) = 7428344

LCM of 2723 and 2728

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

LCM of:
and

Least Common Multiple of 2723 and 2728

LCM of 2723 and 2728 is 7428344

Least common multiple can be found by multiplying the highest exponent prime factors of 2723 and 2728. First we will calculate the prime factors of 2723 and 2728.

Prime Factorization of 2723


7 2723
389 389
1

Prime factors of 2723 are 7,389. Prime factorization of 2723 in exponential form is:

2723 = 71×3891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2723 and 2728.

LCM(2723,2728) = 23×71×111×311×3891
LCM(2723,2728) = 7428344

Factors of 2723

List of positive integer factors of 2723 that divides 2723 without a remainder.

1, 7, 389, 2723

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

Least Common Multiple of 2723 and 2728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2723 and 2728, than apply into the LCM equation.

GCF(2723,2728) = 1
LCM(2723,2728) = ( 2723 × 2728) / 1
LCM(2723,2728) = 7428344 / 1
LCM(2723,2728) = 7428344

Properties of LCM 2723 and 2728

(i) The LCM of 2728 and 2723 is associative

LCM of 2723 and 2728 = LCM of 2728 and 2723

Related Least Common Multiples of 2723

Related Least Common Multiples of 2728

Frequently Asked Questions on LCM of 2723 and 2728

1. What is the LCM of 2723 and 2728?

Answer: LCM of 2723 and 2728 is 7428344.

2. What are the Factors of 2723?

Answer: Factors of 2723 are 1, 7, 389, 2723. There are 4 integers that are factors of 2723. The greatest factor of 2723 is 2723.

3. 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.

4. How to Find the LCM of 2723 and 2728?

Answer:

Least Common Multiple of 2723 and 2728 = 7428344

Step 1: Find the prime factorization of 2723

2723 = 7 x 389

Step 2: Find the prime factorization of 2728

2728 = 2 x 2 x 2 x 11 x 31

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

LCM = 7428344 = 2 x 2 x 2 x 7 x 11 x 31 x 389

Step 4: Therefore, the least common multiple of 2723 and 2728 is 7428344.