Least Common Multiple of 808 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 808 and 814 the smallest integer that is 328856 that is divisible by both numbers.

Least Common Multiple (LCM) of 808 and 814 is 328856.

LCM(808,814) = 328856

LCM of 808 and 814

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

LCM of:
and

Least Common Multiple of 808 and 814

LCM of 808 and 814 is 328856

Least common multiple can be found by multiplying the highest exponent prime factors of 808 and 814. First we will calculate the prime factors of 808 and 814.

Prime Factorization of 808


2 808
2 404
2 202
101 101
1

Prime factors of 808 are 2,101. Prime factorization of 808 in exponential form is:

808 = 23×1011

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 808 and 814.

LCM(808,814) = 23×111×371×1011
LCM(808,814) = 328856

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

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 808 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 808 and 814, than apply into the LCM equation.

GCF(808,814) = 2
LCM(808,814) = ( 808 × 814) / 2
LCM(808,814) = 657712 / 2
LCM(808,814) = 328856

Properties of LCM 808 and 814

(i) The LCM of 814 and 808 is associative

LCM of 808 and 814 = LCM of 814 and 808

Related Least Common Multiples of 808

Related Least Common Multiples of 814

Frequently Asked Questions on LCM of 808 and 814

1. What is the LCM of 808 and 814?

Answer: LCM of 808 and 814 is 328856.

2. What are the Factors of 808?

Answer: Factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808. There are 8 integers that are factors of 808. The greatest factor of 808 is 808.

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 808 and 814?

Answer:

Least Common Multiple of 808 and 814 = 328856

Step 1: Find the prime factorization of 808

808 = 2 x 2 x 2 x 101

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 = 328856 = 2 x 2 x 2 x 11 x 37 x 101

Step 4: Therefore, the least common multiple of 808 and 814 is 328856.