Least Common Multiple of 6805 and 6812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6805 and 6812 the smallest integer that is 46355660 that is divisible by both numbers.

Least Common Multiple (LCM) of 6805 and 6812 is 46355660.

LCM(6805,6812) = 46355660

LCM of 6805 and 6812

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

LCM of:
and

Least Common Multiple of 6805 and 6812

LCM of 6805 and 6812 is 46355660

Least common multiple can be found by multiplying the highest exponent prime factors of 6805 and 6812. First we will calculate the prime factors of 6805 and 6812.

Prime Factorization of 6805


5 6805
1361 1361
1

Prime factors of 6805 are 5,1361. Prime factorization of 6805 in exponential form is:

6805 = 51×13611

Prime Factorization of 6812


2 6812
2 3406
13 1703
131 131
1

Prime factors of 6812 are 2, 13,131. Prime factorization of 6812 in exponential form is:

6812 = 22×131×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 6805 and 6812.

LCM(6805,6812) = 22×51×131×1311×13611
LCM(6805,6812) = 46355660

Factors of 6805

List of positive integer factors of 6805 that divides 6805 without a remainder.

1, 5, 1361, 6805

Factors of 6812

List of positive integer factors of 6812 that divides 6812 without a remainder.

1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812

Least Common Multiple of 6805 and 6812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6805 and 6812, than apply into the LCM equation.

GCF(6805,6812) = 1
LCM(6805,6812) = ( 6805 × 6812) / 1
LCM(6805,6812) = 46355660 / 1
LCM(6805,6812) = 46355660

Properties of LCM 6805 and 6812

(i) The LCM of 6812 and 6805 is associative

LCM of 6805 and 6812 = LCM of 6812 and 6805

Related Least Common Multiples of 6805

Related Least Common Multiples of 6812

Frequently Asked Questions on LCM of 6805 and 6812

1. What is the LCM of 6805 and 6812?

Answer: LCM of 6805 and 6812 is 46355660.

2. What are the Factors of 6805?

Answer: Factors of 6805 are 1, 5, 1361, 6805. There are 4 integers that are factors of 6805. The greatest factor of 6805 is 6805.

3. What are the Factors of 6812?

Answer: Factors of 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812. There are 12 integers that are factors of 6812. The greatest factor of 6812 is 6812.

4. How to Find the LCM of 6805 and 6812?

Answer:

Least Common Multiple of 6805 and 6812 = 46355660

Step 1: Find the prime factorization of 6805

6805 = 5 x 1361

Step 2: Find the prime factorization of 6812

6812 = 2 x 2 x 13 x 131

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

LCM = 46355660 = 2 x 2 x 5 x 13 x 131 x 1361

Step 4: Therefore, the least common multiple of 6805 and 6812 is 46355660.