Least Common Multiple of 6724 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 6724 and 6728 the smallest integer that is 11309768 that is divisible by both numbers.

Least Common Multiple (LCM) of 6724 and 6728 is 11309768.

LCM(6724,6728) = 11309768

LCM of 6724 and 6728

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

LCM of:
and

Least Common Multiple of 6724 and 6728

LCM of 6724 and 6728 is 11309768

Least common multiple can be found by multiplying the highest exponent prime factors of 6724 and 6728. First we will calculate the prime factors of 6724 and 6728.

Prime Factorization of 6724


2 6724
2 3362
41 1681
41 41
1

Prime factors of 6724 are 2,41. Prime factorization of 6724 in exponential form is:

6724 = 22×412

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 6724 and 6728.

LCM(6724,6728) = 23×292×412
LCM(6724,6728) = 11309768

Factors of 6724

List of positive integer factors of 6724 that divides 6724 without a remainder.

1, 2, 4, 41, 82, 164, 1681, 3362, 6724

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 6724 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 6724 and 6728, than apply into the LCM equation.

GCF(6724,6728) = 4
LCM(6724,6728) = ( 6724 × 6728) / 4
LCM(6724,6728) = 45239072 / 4
LCM(6724,6728) = 11309768

Properties of LCM 6724 and 6728

(i) The LCM of 6728 and 6724 is associative

LCM of 6724 and 6728 = LCM of 6728 and 6724

Related Least Common Multiples of 6724

Related Least Common Multiples of 6728

Frequently Asked Questions on LCM of 6724 and 6728

1. What is the LCM of 6724 and 6728?

Answer: LCM of 6724 and 6728 is 11309768.

2. What are the Factors of 6724?

Answer: Factors of 6724 are 1, 2, 4, 41, 82, 164, 1681, 3362, 6724. There are 9 integers that are factors of 6724. The greatest factor of 6724 is 6724.

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 6724 and 6728?

Answer:

Least Common Multiple of 6724 and 6728 = 11309768

Step 1: Find the prime factorization of 6724

6724 = 2 x 2 x 41 x 41

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 = 11309768 = 2 x 2 x 2 x 29 x 29 x 41 x 41

Step 4: Therefore, the least common multiple of 6724 and 6728 is 11309768.