Least Common Multiple of 6748 and 6756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6748 and 6756 the smallest integer that is 11397372 that is divisible by both numbers.

Least Common Multiple (LCM) of 6748 and 6756 is 11397372.

LCM(6748,6756) = 11397372

LCM of 6748 and 6756

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

LCM of:
and

Least Common Multiple of 6748 and 6756

LCM of 6748 and 6756 is 11397372

Least common multiple can be found by multiplying the highest exponent prime factors of 6748 and 6756. First we will calculate the prime factors of 6748 and 6756.

Prime Factorization of 6748


2 6748
2 3374
7 1687
241 241
1

Prime factors of 6748 are 2, 7,241. Prime factorization of 6748 in exponential form is:

6748 = 22×71×2411

Prime Factorization of 6756


2 6756
2 3378
3 1689
563 563
1

Prime factors of 6756 are 2, 3,563. Prime factorization of 6756 in exponential form is:

6756 = 22×31×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 6748 and 6756.

LCM(6748,6756) = 22×31×71×2411×5631
LCM(6748,6756) = 11397372

Factors of 6748

List of positive integer factors of 6748 that divides 6748 without a remainder.

1, 2, 4, 7, 14, 28, 241, 482, 964, 1687, 3374, 6748

Factors of 6756

List of positive integer factors of 6756 that divides 6756 without a remainder.

1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756

Least Common Multiple of 6748 and 6756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6748 and 6756, than apply into the LCM equation.

GCF(6748,6756) = 4
LCM(6748,6756) = ( 6748 × 6756) / 4
LCM(6748,6756) = 45589488 / 4
LCM(6748,6756) = 11397372

Properties of LCM 6748 and 6756

(i) The LCM of 6756 and 6748 is associative

LCM of 6748 and 6756 = LCM of 6756 and 6748

Related Least Common Multiples of 6748

Related Least Common Multiples of 6756

Frequently Asked Questions on LCM of 6748 and 6756

1. What is the LCM of 6748 and 6756?

Answer: LCM of 6748 and 6756 is 11397372.

2. What are the Factors of 6748?

Answer: Factors of 6748 are 1, 2, 4, 7, 14, 28, 241, 482, 964, 1687, 3374, 6748. There are 12 integers that are factors of 6748. The greatest factor of 6748 is 6748.

3. What are the Factors of 6756?

Answer: Factors of 6756 are 1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756. There are 12 integers that are factors of 6756. The greatest factor of 6756 is 6756.

4. How to Find the LCM of 6748 and 6756?

Answer:

Least Common Multiple of 6748 and 6756 = 11397372

Step 1: Find the prime factorization of 6748

6748 = 2 x 2 x 7 x 241

Step 2: Find the prime factorization of 6756

6756 = 2 x 2 x 3 x 563

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

LCM = 11397372 = 2 x 2 x 3 x 7 x 241 x 563

Step 4: Therefore, the least common multiple of 6748 and 6756 is 11397372.