Least Common Multiple of 2722 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 2722 and 2728 the smallest integer that is 3712808 that is divisible by both numbers.

Least Common Multiple (LCM) of 2722 and 2728 is 3712808.

LCM(2722,2728) = 3712808

LCM of 2722 and 2728

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

LCM of:
and

Least Common Multiple of 2722 and 2728

LCM of 2722 and 2728 is 3712808

Least common multiple can be found by multiplying the highest exponent prime factors of 2722 and 2728. First we will calculate the prime factors of 2722 and 2728.

Prime Factorization of 2722


2 2722
1361 1361
1

Prime factors of 2722 are 2,1361. Prime factorization of 2722 in exponential form is:

2722 = 21×13611

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 2722 and 2728.

LCM(2722,2728) = 23×111×311×13611
LCM(2722,2728) = 3712808

Factors of 2722

List of positive integer factors of 2722 that divides 2722 without a remainder.

1, 2, 1361, 2722

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 2722 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 2722 and 2728, than apply into the LCM equation.

GCF(2722,2728) = 2
LCM(2722,2728) = ( 2722 × 2728) / 2
LCM(2722,2728) = 7425616 / 2
LCM(2722,2728) = 3712808

Properties of LCM 2722 and 2728

(i) The LCM of 2728 and 2722 is associative

LCM of 2722 and 2728 = LCM of 2728 and 2722

Related Least Common Multiples of 2722

Related Least Common Multiples of 2728

Frequently Asked Questions on LCM of 2722 and 2728

1. What is the LCM of 2722 and 2728?

Answer: LCM of 2722 and 2728 is 3712808.

2. What are the Factors of 2722?

Answer: Factors of 2722 are 1, 2, 1361, 2722. There are 4 integers that are factors of 2722. The greatest factor of 2722 is 2722.

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 2722 and 2728?

Answer:

Least Common Multiple of 2722 and 2728 = 3712808

Step 1: Find the prime factorization of 2722

2722 = 2 x 1361

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 = 3712808 = 2 x 2 x 2 x 11 x 31 x 1361

Step 4: Therefore, the least common multiple of 2722 and 2728 is 3712808.