Least Common Multiple of 6752 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 6752 and 6756 the smallest integer that is 11404128 that is divisible by both numbers.

Least Common Multiple (LCM) of 6752 and 6756 is 11404128.

LCM(6752,6756) = 11404128

LCM of 6752 and 6756

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

LCM of:
and

Least Common Multiple of 6752 and 6756

LCM of 6752 and 6756 is 11404128

Least common multiple can be found by multiplying the highest exponent prime factors of 6752 and 6756. First we will calculate the prime factors of 6752 and 6756.

Prime Factorization of 6752


2 6752
2 3376
2 1688
2 844
2 422
211 211
1

Prime factors of 6752 are 2,211. Prime factorization of 6752 in exponential form is:

6752 = 25×2111

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 6752 and 6756.

LCM(6752,6756) = 25×31×2111×5631
LCM(6752,6756) = 11404128

Factors of 6752

List of positive integer factors of 6752 that divides 6752 without a remainder.

1, 2, 4, 8, 16, 32, 211, 422, 844, 1688, 3376, 6752

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 6752 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 6752 and 6756, than apply into the LCM equation.

GCF(6752,6756) = 4
LCM(6752,6756) = ( 6752 × 6756) / 4
LCM(6752,6756) = 45616512 / 4
LCM(6752,6756) = 11404128

Properties of LCM 6752 and 6756

(i) The LCM of 6756 and 6752 is associative

LCM of 6752 and 6756 = LCM of 6756 and 6752

Related Least Common Multiples of 6752

Related Least Common Multiples of 6756

Frequently Asked Questions on LCM of 6752 and 6756

1. What is the LCM of 6752 and 6756?

Answer: LCM of 6752 and 6756 is 11404128.

2. What are the Factors of 6752?

Answer: Factors of 6752 are 1, 2, 4, 8, 16, 32, 211, 422, 844, 1688, 3376, 6752. There are 12 integers that are factors of 6752. The greatest factor of 6752 is 6752.

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 6752 and 6756?

Answer:

Least Common Multiple of 6752 and 6756 = 11404128

Step 1: Find the prime factorization of 6752

6752 = 2 x 2 x 2 x 2 x 2 x 211

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 = 11404128 = 2 x 2 x 2 x 2 x 2 x 3 x 211 x 563

Step 4: Therefore, the least common multiple of 6752 and 6756 is 11404128.