Least Common Multiple of 6723 and 6728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6723 and 6728 the smallest integer that is 45232344 that is divisible by both numbers.

Least Common Multiple (LCM) of 6723 and 6728 is 45232344.

LCM(6723,6728) = 45232344

LCM of 6723 and 6728

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

LCM of:
and

Least Common Multiple of 6723 and 6728

LCM of 6723 and 6728 is 45232344

Least common multiple can be found by multiplying the highest exponent prime factors of 6723 and 6728. First we will calculate the prime factors of 6723 and 6728.

Prime Factorization of 6723


3 6723
3 2241
3 747
3 249
83 83
1

Prime factors of 6723 are 3,83. Prime factorization of 6723 in exponential form is:

6723 = 34×831

Prime Factorization of 6728


2 6728
2 3364
2 1682
29 841
29 29
1

Prime factors of 6728 are 2,29. Prime factorization of 6728 in exponential form is:

6728 = 23×292

Now multiplying the highest exponent prime factors to calculate the LCM of 6723 and 6728.

LCM(6723,6728) = 23×34×292×831
LCM(6723,6728) = 45232344

Factors of 6723

List of positive integer factors of 6723 that divides 6723 without a remainder.

1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723

Factors of 6728

List of positive integer factors of 6728 that divides 6728 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 841, 1682, 3364, 6728

Least Common Multiple of 6723 and 6728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6723 and 6728, than apply into the LCM equation.

GCF(6723,6728) = 1
LCM(6723,6728) = ( 6723 × 6728) / 1
LCM(6723,6728) = 45232344 / 1
LCM(6723,6728) = 45232344

Properties of LCM 6723 and 6728

(i) The LCM of 6728 and 6723 is associative

LCM of 6723 and 6728 = LCM of 6728 and 6723

Related Least Common Multiples of 6723

Related Least Common Multiples of 6728

Frequently Asked Questions on LCM of 6723 and 6728

1. What is the LCM of 6723 and 6728?

Answer: LCM of 6723 and 6728 is 45232344.

2. What are the Factors of 6723?

Answer: Factors of 6723 are 1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723. There are 10 integers that are factors of 6723. The greatest factor of 6723 is 6723.

3. What are the Factors of 6728?

Answer: Factors of 6728 are 1, 2, 4, 8, 29, 58, 116, 232, 841, 1682, 3364, 6728. There are 12 integers that are factors of 6728. The greatest factor of 6728 is 6728.

4. How to Find the LCM of 6723 and 6728?

Answer:

Least Common Multiple of 6723 and 6728 = 45232344

Step 1: Find the prime factorization of 6723

6723 = 3 x 3 x 3 x 3 x 83

Step 2: Find the prime factorization of 6728

6728 = 2 x 2 x 2 x 29 x 29

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

LCM = 45232344 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 29 x 29 x 83

Step 4: Therefore, the least common multiple of 6723 and 6728 is 45232344.