Least Common Multiple of 6727 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 6727 and 6728 the smallest integer that is 45259256 that is divisible by both numbers.

Least Common Multiple (LCM) of 6727 and 6728 is 45259256.

LCM(6727,6728) = 45259256

LCM of 6727 and 6728

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

LCM of:
and

Least Common Multiple of 6727 and 6728

LCM of 6727 and 6728 is 45259256

Least common multiple can be found by multiplying the highest exponent prime factors of 6727 and 6728. First we will calculate the prime factors of 6727 and 6728.

Prime Factorization of 6727


7 6727
31 961
31 31
1

Prime factors of 6727 are 7,31. Prime factorization of 6727 in exponential form is:

6727 = 71×312

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 6727 and 6728.

LCM(6727,6728) = 23×71×292×312
LCM(6727,6728) = 45259256

Factors of 6727

List of positive integer factors of 6727 that divides 6727 without a remainder.

1, 7, 31, 217, 961, 6727

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 6727 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 6727 and 6728, than apply into the LCM equation.

GCF(6727,6728) = 1
LCM(6727,6728) = ( 6727 × 6728) / 1
LCM(6727,6728) = 45259256 / 1
LCM(6727,6728) = 45259256

Properties of LCM 6727 and 6728

(i) The LCM of 6728 and 6727 is associative

LCM of 6727 and 6728 = LCM of 6728 and 6727

Related Least Common Multiples of 6727

Related Least Common Multiples of 6728

Frequently Asked Questions on LCM of 6727 and 6728

1. What is the LCM of 6727 and 6728?

Answer: LCM of 6727 and 6728 is 45259256.

2. What are the Factors of 6727?

Answer: Factors of 6727 are 1, 7, 31, 217, 961, 6727. There are 6 integers that are factors of 6727. The greatest factor of 6727 is 6727.

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 6727 and 6728?

Answer:

Least Common Multiple of 6727 and 6728 = 45259256

Step 1: Find the prime factorization of 6727

6727 = 7 x 31 x 31

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 = 45259256 = 2 x 2 x 2 x 7 x 29 x 29 x 31 x 31

Step 4: Therefore, the least common multiple of 6727 and 6728 is 45259256.