Least Common Multiple of 6756 and 6764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6756 and 6764 the smallest integer that is 11424396 that is divisible by both numbers.

Least Common Multiple (LCM) of 6756 and 6764 is 11424396.

LCM(6756,6764) = 11424396

LCM of 6756 and 6764

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

LCM of:
and

Least Common Multiple of 6756 and 6764

LCM of 6756 and 6764 is 11424396

Least common multiple can be found by multiplying the highest exponent prime factors of 6756 and 6764. First we will calculate the prime factors of 6756 and 6764.

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

Prime Factorization of 6764


2 6764
2 3382
19 1691
89 89
1

Prime factors of 6764 are 2, 19,89. Prime factorization of 6764 in exponential form is:

6764 = 22×191×891

Now multiplying the highest exponent prime factors to calculate the LCM of 6756 and 6764.

LCM(6756,6764) = 22×31×191×891×5631
LCM(6756,6764) = 11424396

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

Factors of 6764

List of positive integer factors of 6764 that divides 6764 without a remainder.

1, 2, 4, 19, 38, 76, 89, 178, 356, 1691, 3382, 6764

Least Common Multiple of 6756 and 6764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6756 and 6764, than apply into the LCM equation.

GCF(6756,6764) = 4
LCM(6756,6764) = ( 6756 × 6764) / 4
LCM(6756,6764) = 45697584 / 4
LCM(6756,6764) = 11424396

Properties of LCM 6756 and 6764

(i) The LCM of 6764 and 6756 is associative

LCM of 6756 and 6764 = LCM of 6764 and 6756

Related Least Common Multiples of 6756

Related Least Common Multiples of 6764

Frequently Asked Questions on LCM of 6756 and 6764

1. What is the LCM of 6756 and 6764?

Answer: LCM of 6756 and 6764 is 11424396.

2. 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.

3. What are the Factors of 6764?

Answer: Factors of 6764 are 1, 2, 4, 19, 38, 76, 89, 178, 356, 1691, 3382, 6764. There are 12 integers that are factors of 6764. The greatest factor of 6764 is 6764.

4. How to Find the LCM of 6756 and 6764?

Answer:

Least Common Multiple of 6756 and 6764 = 11424396

Step 1: Find the prime factorization of 6756

6756 = 2 x 2 x 3 x 563

Step 2: Find the prime factorization of 6764

6764 = 2 x 2 x 19 x 89

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

LCM = 11424396 = 2 x 2 x 3 x 19 x 89 x 563

Step 4: Therefore, the least common multiple of 6756 and 6764 is 11424396.