Least Common Multiple of 6781 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 6781 and 6789 the smallest integer that is 46036209 that is divisible by both numbers.

Least Common Multiple (LCM) of 6781 and 6789 is 46036209.

LCM(6781,6789) = 46036209

LCM of 6781 and 6789

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

LCM of:
and

Least Common Multiple of 6781 and 6789

LCM of 6781 and 6789 is 46036209

Least common multiple can be found by multiplying the highest exponent prime factors of 6781 and 6789. First we will calculate the prime factors of 6781 and 6789.

Prime Factorization of 6781


6781 6781
1

Prime factors of 6781 are 6781. Prime factorization of 6781 in exponential form is:

6781 = 67811

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 6781 and 6789.

LCM(6781,6789) = 31×311×731×67811
LCM(6781,6789) = 46036209

Factors of 6781

List of positive integer factors of 6781 that divides 6781 without a remainder.

1, 6781

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 6781 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 6781 and 6789, than apply into the LCM equation.

GCF(6781,6789) = 1
LCM(6781,6789) = ( 6781 × 6789) / 1
LCM(6781,6789) = 46036209 / 1
LCM(6781,6789) = 46036209

Properties of LCM 6781 and 6789

(i) The LCM of 6789 and 6781 is associative

LCM of 6781 and 6789 = LCM of 6789 and 6781

Related Least Common Multiples of 6781

Related Least Common Multiples of 6789

Frequently Asked Questions on LCM of 6781 and 6789

1. What is the LCM of 6781 and 6789?

Answer: LCM of 6781 and 6789 is 46036209.

2. What are the Factors of 6781?

Answer: Factors of 6781 are 1, 6781. There are 2 integers that are factors of 6781. The greatest factor of 6781 is 6781.

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 6781 and 6789?

Answer:

Least Common Multiple of 6781 and 6789 = 46036209

Step 1: Find the prime factorization of 6781

6781 = 6781

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 = 46036209 = 3 x 31 x 73 x 6781

Step 4: Therefore, the least common multiple of 6781 and 6789 is 46036209.