Least Common Multiple of 806 and 814

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 814 the smallest integer that is 328042 that is divisible by both numbers.

Least Common Multiple (LCM) of 806 and 814 is 328042.

LCM(806,814) = 328042

LCM of 806 and 814

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

LCM of:
and

Least Common Multiple of 806 and 814

LCM of 806 and 814 is 328042

Least common multiple can be found by multiplying the highest exponent prime factors of 806 and 814. First we will calculate the prime factors of 806 and 814.

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 814


2 814
11 407
37 37
1

Prime factors of 814 are 2, 11,37. Prime factorization of 814 in exponential form is:

814 = 21×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 806 and 814.

LCM(806,814) = 21×111×131×311×371
LCM(806,814) = 328042

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 814

List of positive integer factors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Least Common Multiple of 806 and 814 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 814, than apply into the LCM equation.

GCF(806,814) = 2
LCM(806,814) = ( 806 × 814) / 2
LCM(806,814) = 656084 / 2
LCM(806,814) = 328042

Properties of LCM 806 and 814

(i) The LCM of 814 and 806 is associative

LCM of 806 and 814 = LCM of 814 and 806

Related Least Common Multiples of 806

Related Least Common Multiples of 814

Frequently Asked Questions on LCM of 806 and 814

1. What is the LCM of 806 and 814?

Answer: LCM of 806 and 814 is 328042.

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 814?

Answer: Factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814. There are 8 integers that are factors of 814. The greatest factor of 814 is 814.

4. How to Find the LCM of 806 and 814?

Answer:

Least Common Multiple of 806 and 814 = 328042

Step 1: Find the prime factorization of 806

806 = 2 x 13 x 31

Step 2: Find the prime factorization of 814

814 = 2 x 11 x 37

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

LCM = 328042 = 2 x 11 x 13 x 31 x 37

Step 4: Therefore, the least common multiple of 806 and 814 is 328042.