Least Common Multiple of 6728 and 6731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6728 and 6731 the smallest integer that is 45286168 that is divisible by both numbers.

Least Common Multiple (LCM) of 6728 and 6731 is 45286168.

LCM(6728,6731) = 45286168

LCM of 6728 and 6731

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

LCM of:
and

Least Common Multiple of 6728 and 6731

LCM of 6728 and 6731 is 45286168

Least common multiple can be found by multiplying the highest exponent prime factors of 6728 and 6731. First we will calculate the prime factors of 6728 and 6731.

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

Prime Factorization of 6731


53 6731
127 127
1

Prime factors of 6731 are 53,127. Prime factorization of 6731 in exponential form is:

6731 = 531×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 6728 and 6731.

LCM(6728,6731) = 23×292×531×1271
LCM(6728,6731) = 45286168

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

Factors of 6731

List of positive integer factors of 6731 that divides 6731 without a remainder.

1, 53, 127, 6731

Least Common Multiple of 6728 and 6731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6728 and 6731, than apply into the LCM equation.

GCF(6728,6731) = 1
LCM(6728,6731) = ( 6728 × 6731) / 1
LCM(6728,6731) = 45286168 / 1
LCM(6728,6731) = 45286168

Properties of LCM 6728 and 6731

(i) The LCM of 6731 and 6728 is associative

LCM of 6728 and 6731 = LCM of 6731 and 6728

Related Least Common Multiples of 6728

Related Least Common Multiples of 6731

Frequently Asked Questions on LCM of 6728 and 6731

1. What is the LCM of 6728 and 6731?

Answer: LCM of 6728 and 6731 is 45286168.

2. 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.

3. What are the Factors of 6731?

Answer: Factors of 6731 are 1, 53, 127, 6731. There are 4 integers that are factors of 6731. The greatest factor of 6731 is 6731.

4. How to Find the LCM of 6728 and 6731?

Answer:

Least Common Multiple of 6728 and 6731 = 45286168

Step 1: Find the prime factorization of 6728

6728 = 2 x 2 x 2 x 29 x 29

Step 2: Find the prime factorization of 6731

6731 = 53 x 127

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

LCM = 45286168 = 2 x 2 x 2 x 29 x 29 x 53 x 127

Step 4: Therefore, the least common multiple of 6728 and 6731 is 45286168.