Least Common Multiple of 2728 and 2733

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 2733 the smallest integer that is 7455624 that is divisible by both numbers.

Least Common Multiple (LCM) of 2728 and 2733 is 7455624.

LCM(2728,2733) = 7455624

LCM of 2728 and 2733

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

LCM of:
and

Least Common Multiple of 2728 and 2733

LCM of 2728 and 2733 is 7455624

Least common multiple can be found by multiplying the highest exponent prime factors of 2728 and 2733. First we will calculate the prime factors of 2728 and 2733.

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 2733


3 2733
911 911
1

Prime factors of 2733 are 3,911. Prime factorization of 2733 in exponential form is:

2733 = 31×9111

Now multiplying the highest exponent prime factors to calculate the LCM of 2728 and 2733.

LCM(2728,2733) = 23×31×111×311×9111
LCM(2728,2733) = 7455624

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 2733

List of positive integer factors of 2733 that divides 2733 without a remainder.

1, 3, 911, 2733

Least Common Multiple of 2728 and 2733 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 2733, than apply into the LCM equation.

GCF(2728,2733) = 1
LCM(2728,2733) = ( 2728 × 2733) / 1
LCM(2728,2733) = 7455624 / 1
LCM(2728,2733) = 7455624

Properties of LCM 2728 and 2733

(i) The LCM of 2733 and 2728 is associative

LCM of 2728 and 2733 = LCM of 2733 and 2728

Related Least Common Multiples of 2728

Related Least Common Multiples of 2733

Frequently Asked Questions on LCM of 2728 and 2733

1. What is the LCM of 2728 and 2733?

Answer: LCM of 2728 and 2733 is 7455624.

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 2733?

Answer: Factors of 2733 are 1, 3, 911, 2733. There are 4 integers that are factors of 2733. The greatest factor of 2733 is 2733.

4. How to Find the LCM of 2728 and 2733?

Answer:

Least Common Multiple of 2728 and 2733 = 7455624

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 2733

2733 = 3 x 911

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

LCM = 7455624 = 2 x 2 x 2 x 3 x 11 x 31 x 911

Step 4: Therefore, the least common multiple of 2728 and 2733 is 7455624.