Least Common Multiple of 6784 and 6789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6784 and 6789 the smallest integer that is 46056576 that is divisible by both numbers.

Least Common Multiple (LCM) of 6784 and 6789 is 46056576.

LCM(6784,6789) = 46056576

LCM of 6784 and 6789

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

LCM of:
and

Least Common Multiple of 6784 and 6789

LCM of 6784 and 6789 is 46056576

Least common multiple can be found by multiplying the highest exponent prime factors of 6784 and 6789. First we will calculate the prime factors of 6784 and 6789.

Prime Factorization of 6784


2 6784
2 3392
2 1696
2 848
2 424
2 212
2 106
53 53
1

Prime factors of 6784 are 2,53. Prime factorization of 6784 in exponential form is:

6784 = 27×531

Prime Factorization of 6789


3 6789
31 2263
73 73
1

Prime factors of 6789 are 3, 31,73. Prime factorization of 6789 in exponential form is:

6789 = 31×311×731

Now multiplying the highest exponent prime factors to calculate the LCM of 6784 and 6789.

LCM(6784,6789) = 27×31×311×531×731
LCM(6784,6789) = 46056576

Factors of 6784

List of positive integer factors of 6784 that divides 6784 without a remainder.

1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784

Factors of 6789

List of positive integer factors of 6789 that divides 6789 without a remainder.

1, 3, 31, 73, 93, 219, 2263, 6789

Least Common Multiple of 6784 and 6789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6784 and 6789, than apply into the LCM equation.

GCF(6784,6789) = 1
LCM(6784,6789) = ( 6784 × 6789) / 1
LCM(6784,6789) = 46056576 / 1
LCM(6784,6789) = 46056576

Properties of LCM 6784 and 6789

(i) The LCM of 6789 and 6784 is associative

LCM of 6784 and 6789 = LCM of 6789 and 6784

Related Least Common Multiples of 6784

Related Least Common Multiples of 6789

Frequently Asked Questions on LCM of 6784 and 6789

1. What is the LCM of 6784 and 6789?

Answer: LCM of 6784 and 6789 is 46056576.

2. What are the Factors of 6784?

Answer: Factors of 6784 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784. There are 16 integers that are factors of 6784. The greatest factor of 6784 is 6784.

3. What are the Factors of 6789?

Answer: Factors of 6789 are 1, 3, 31, 73, 93, 219, 2263, 6789. There are 8 integers that are factors of 6789. The greatest factor of 6789 is 6789.

4. How to Find the LCM of 6784 and 6789?

Answer:

Least Common Multiple of 6784 and 6789 = 46056576

Step 1: Find the prime factorization of 6784

6784 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 6789

6789 = 3 x 31 x 73

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

LCM = 46056576 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31 x 53 x 73

Step 4: Therefore, the least common multiple of 6784 and 6789 is 46056576.