Least Common Multiple of 810 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 810 and 814 the smallest integer that is 329670 that is divisible by both numbers.

Least Common Multiple (LCM) of 810 and 814 is 329670.

LCM(810,814) = 329670

LCM of 810 and 814

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

LCM of:
and

Least Common Multiple of 810 and 814

LCM of 810 and 814 is 329670

Least common multiple can be found by multiplying the highest exponent prime factors of 810 and 814. First we will calculate the prime factors of 810 and 814.

Prime Factorization of 810


2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 810 are 2, 3,5. Prime factorization of 810 in exponential form is:

810 = 21×34×51

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 810 and 814.

LCM(810,814) = 21×34×51×111×371
LCM(810,814) = 329670

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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 810 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 810 and 814, than apply into the LCM equation.

GCF(810,814) = 2
LCM(810,814) = ( 810 × 814) / 2
LCM(810,814) = 659340 / 2
LCM(810,814) = 329670

Properties of LCM 810 and 814

(i) The LCM of 814 and 810 is associative

LCM of 810 and 814 = LCM of 814 and 810

Related Least Common Multiples of 810

Related Least Common Multiples of 814

Frequently Asked Questions on LCM of 810 and 814

1. What is the LCM of 810 and 814?

Answer: LCM of 810 and 814 is 329670.

2. What are the Factors of 810?

Answer: Factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810. There are 20 integers that are factors of 810. The greatest factor of 810 is 810.

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 810 and 814?

Answer:

Least Common Multiple of 810 and 814 = 329670

Step 1: Find the prime factorization of 810

810 = 2 x 3 x 3 x 3 x 3 x 5

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 = 329670 = 2 x 3 x 3 x 3 x 3 x 5 x 11 x 37

Step 4: Therefore, the least common multiple of 810 and 814 is 329670.