Least Common Multiple of 806 and 812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 806 and 812 the smallest integer that is 327236 that is divisible by both numbers.

Least Common Multiple (LCM) of 806 and 812 is 327236.

LCM(806,812) = 327236

LCM of 806 and 812

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

LCM of:
and

Least Common Multiple of 806 and 812

LCM of 806 and 812 is 327236

Least common multiple can be found by multiplying the highest exponent prime factors of 806 and 812. First we will calculate the prime factors of 806 and 812.

Prime Factorization of 806


2 806
13 403
31 31
1

Prime factors of 806 are 2, 13,31. Prime factorization of 806 in exponential form is:

806 = 21×131×311

Prime Factorization of 812


2 812
2 406
7 203
29 29
1

Prime factors of 812 are 2, 7,29. Prime factorization of 812 in exponential form is:

812 = 22×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 806 and 812.

LCM(806,812) = 22×71×131×291×311
LCM(806,812) = 327236

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Least Common Multiple of 806 and 812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 806 and 812, than apply into the LCM equation.

GCF(806,812) = 2
LCM(806,812) = ( 806 × 812) / 2
LCM(806,812) = 654472 / 2
LCM(806,812) = 327236

Properties of LCM 806 and 812

(i) The LCM of 812 and 806 is associative

LCM of 806 and 812 = LCM of 812 and 806

Related Least Common Multiples of 806

Related Least Common Multiples of 812

Frequently Asked Questions on LCM of 806 and 812

1. What is the LCM of 806 and 812?

Answer: LCM of 806 and 812 is 327236.

2. What are the Factors of 806?

Answer: Factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806. There are 8 integers that are factors of 806. The greatest factor of 806 is 806.

3. What are the Factors of 812?

Answer: Factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812. There are 12 integers that are factors of 812. The greatest factor of 812 is 812.

4. How to Find the LCM of 806 and 812?

Answer:

Least Common Multiple of 806 and 812 = 327236

Step 1: Find the prime factorization of 806

806 = 2 x 13 x 31

Step 2: Find the prime factorization of 812

812 = 2 x 2 x 7 x 29

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

LCM = 327236 = 2 x 2 x 7 x 13 x 29 x 31

Step 4: Therefore, the least common multiple of 806 and 812 is 327236.