Least Common Multiple of 808 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 808 and 812 the smallest integer that is 164024 that is divisible by both numbers.

Least Common Multiple (LCM) of 808 and 812 is 164024.

LCM(808,812) = 164024

LCM of 808 and 812

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

LCM of:
and

Least Common Multiple of 808 and 812

LCM of 808 and 812 is 164024

Least common multiple can be found by multiplying the highest exponent prime factors of 808 and 812. First we will calculate the prime factors of 808 and 812.

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 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 808 and 812.

LCM(808,812) = 23×71×291×1011
LCM(808,812) = 164024

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 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 808 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 808 and 812, than apply into the LCM equation.

GCF(808,812) = 4
LCM(808,812) = ( 808 × 812) / 4
LCM(808,812) = 656096 / 4
LCM(808,812) = 164024

Properties of LCM 808 and 812

(i) The LCM of 812 and 808 is associative

LCM of 808 and 812 = LCM of 812 and 808

Related Least Common Multiples of 808

Related Least Common Multiples of 812

Frequently Asked Questions on LCM of 808 and 812

1. What is the LCM of 808 and 812?

Answer: LCM of 808 and 812 is 164024.

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 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 808 and 812?

Answer:

Least Common Multiple of 808 and 812 = 164024

Step 1: Find the prime factorization of 808

808 = 2 x 2 x 2 x 101

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 = 164024 = 2 x 2 x 2 x 7 x 29 x 101

Step 4: Therefore, the least common multiple of 808 and 812 is 164024.