Least Common Multiple of 804 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 804 and 812 the smallest integer that is 163212 that is divisible by both numbers.

Least Common Multiple (LCM) of 804 and 812 is 163212.

LCM(804,812) = 163212

LCM of 804 and 812

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

LCM of:
and

Least Common Multiple of 804 and 812

LCM of 804 and 812 is 163212

Least common multiple can be found by multiplying the highest exponent prime factors of 804 and 812. First we will calculate the prime factors of 804 and 812.

Prime Factorization of 804


2 804
2 402
3 201
67 67
1

Prime factors of 804 are 2, 3,67. Prime factorization of 804 in exponential form is:

804 = 22×31×671

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 804 and 812.

LCM(804,812) = 22×31×71×291×671
LCM(804,812) = 163212

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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 804 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 804 and 812, than apply into the LCM equation.

GCF(804,812) = 4
LCM(804,812) = ( 804 × 812) / 4
LCM(804,812) = 652848 / 4
LCM(804,812) = 163212

Properties of LCM 804 and 812

(i) The LCM of 812 and 804 is associative

LCM of 804 and 812 = LCM of 812 and 804

Related Least Common Multiples of 804

Related Least Common Multiples of 812

Frequently Asked Questions on LCM of 804 and 812

1. What is the LCM of 804 and 812?

Answer: LCM of 804 and 812 is 163212.

2. What are the Factors of 804?

Answer: Factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804. There are 12 integers that are factors of 804. The greatest factor of 804 is 804.

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 804 and 812?

Answer:

Least Common Multiple of 804 and 812 = 163212

Step 1: Find the prime factorization of 804

804 = 2 x 2 x 3 x 67

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 = 163212 = 2 x 2 x 3 x 7 x 29 x 67

Step 4: Therefore, the least common multiple of 804 and 812 is 163212.