Least Common Multiple of 2728 and 2732

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 2732 the smallest integer that is 1863224 that is divisible by both numbers.

Least Common Multiple (LCM) of 2728 and 2732 is 1863224.

LCM(2728,2732) = 1863224

LCM of 2728 and 2732

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

LCM of:
and

Least Common Multiple of 2728 and 2732

LCM of 2728 and 2732 is 1863224

Least common multiple can be found by multiplying the highest exponent prime factors of 2728 and 2732. First we will calculate the prime factors of 2728 and 2732.

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 2732


2 2732
2 1366
683 683
1

Prime factors of 2732 are 2,683. Prime factorization of 2732 in exponential form is:

2732 = 22×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 2728 and 2732.

LCM(2728,2732) = 23×111×311×6831
LCM(2728,2732) = 1863224

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 2732

List of positive integer factors of 2732 that divides 2732 without a remainder.

1, 2, 4, 683, 1366, 2732

Least Common Multiple of 2728 and 2732 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 2732, than apply into the LCM equation.

GCF(2728,2732) = 4
LCM(2728,2732) = ( 2728 × 2732) / 4
LCM(2728,2732) = 7452896 / 4
LCM(2728,2732) = 1863224

Properties of LCM 2728 and 2732

(i) The LCM of 2732 and 2728 is associative

LCM of 2728 and 2732 = LCM of 2732 and 2728

Related Least Common Multiples of 2728

Related Least Common Multiples of 2732

Frequently Asked Questions on LCM of 2728 and 2732

1. What is the LCM of 2728 and 2732?

Answer: LCM of 2728 and 2732 is 1863224.

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 2732?

Answer: Factors of 2732 are 1, 2, 4, 683, 1366, 2732. There are 6 integers that are factors of 2732. The greatest factor of 2732 is 2732.

4. How to Find the LCM of 2728 and 2732?

Answer:

Least Common Multiple of 2728 and 2732 = 1863224

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 2732

2732 = 2 x 2 x 683

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

LCM = 1863224 = 2 x 2 x 2 x 11 x 31 x 683

Step 4: Therefore, the least common multiple of 2728 and 2732 is 1863224.