Least Common Multiple of 804 and 811

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 811 the smallest integer that is 652044 that is divisible by both numbers.

Least Common Multiple (LCM) of 804 and 811 is 652044.

LCM(804,811) = 652044

LCM of 804 and 811

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

LCM of:
and

Least Common Multiple of 804 and 811

LCM of 804 and 811 is 652044

Least common multiple can be found by multiplying the highest exponent prime factors of 804 and 811. First we will calculate the prime factors of 804 and 811.

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 811


811 811
1

Prime factors of 811 are 811. Prime factorization of 811 in exponential form is:

811 = 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 804 and 811.

LCM(804,811) = 22×31×671×8111
LCM(804,811) = 652044

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 811

List of positive integer factors of 811 that divides 811 without a remainder.

1, 811

Least Common Multiple of 804 and 811 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 811, than apply into the LCM equation.

GCF(804,811) = 1
LCM(804,811) = ( 804 × 811) / 1
LCM(804,811) = 652044 / 1
LCM(804,811) = 652044

Properties of LCM 804 and 811

(i) The LCM of 811 and 804 is associative

LCM of 804 and 811 = LCM of 811 and 804

Related Least Common Multiples of 804

Related Least Common Multiples of 811

Frequently Asked Questions on LCM of 804 and 811

1. What is the LCM of 804 and 811?

Answer: LCM of 804 and 811 is 652044.

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 811?

Answer: Factors of 811 are 1, 811. There are 2 integers that are factors of 811. The greatest factor of 811 is 811.

4. How to Find the LCM of 804 and 811?

Answer:

Least Common Multiple of 804 and 811 = 652044

Step 1: Find the prime factorization of 804

804 = 2 x 2 x 3 x 67

Step 2: Find the prime factorization of 811

811 = 811

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

LCM = 652044 = 2 x 2 x 3 x 67 x 811

Step 4: Therefore, the least common multiple of 804 and 811 is 652044.