Least Common Multiple of 804 and 806

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 806 the smallest integer that is 324012 that is divisible by both numbers.

Least Common Multiple (LCM) of 804 and 806 is 324012.

LCM(804,806) = 324012

LCM of 804 and 806

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

LCM of:
and

Least Common Multiple of 804 and 806

LCM of 804 and 806 is 324012

Least common multiple can be found by multiplying the highest exponent prime factors of 804 and 806. First we will calculate the prime factors of 804 and 806.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 804 and 806.

LCM(804,806) = 22×31×131×311×671
LCM(804,806) = 324012

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 806

List of positive integer factors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Least Common Multiple of 804 and 806 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 806, than apply into the LCM equation.

GCF(804,806) = 2
LCM(804,806) = ( 804 × 806) / 2
LCM(804,806) = 648024 / 2
LCM(804,806) = 324012

Properties of LCM 804 and 806

(i) The LCM of 806 and 804 is associative

LCM of 804 and 806 = LCM of 806 and 804

Related Least Common Multiples of 804

Related Least Common Multiples of 806

Frequently Asked Questions on LCM of 804 and 806

1. What is the LCM of 804 and 806?

Answer: LCM of 804 and 806 is 324012.

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 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.

4. How to Find the LCM of 804 and 806?

Answer:

Least Common Multiple of 804 and 806 = 324012

Step 1: Find the prime factorization of 804

804 = 2 x 2 x 3 x 67

Step 2: Find the prime factorization of 806

806 = 2 x 13 x 31

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

LCM = 324012 = 2 x 2 x 3 x 13 x 31 x 67

Step 4: Therefore, the least common multiple of 804 and 806 is 324012.