Least Common Multiple of 803 and 804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 803 and 804 the smallest integer that is 645612 that is divisible by both numbers.

Least Common Multiple (LCM) of 803 and 804 is 645612.

LCM(803,804) = 645612

LCM of 803 and 804

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

LCM of:
and

Least Common Multiple of 803 and 804

LCM of 803 and 804 is 645612

Least common multiple can be found by multiplying the highest exponent prime factors of 803 and 804. First we will calculate the prime factors of 803 and 804.

Prime Factorization of 803


11 803
73 73
1

Prime factors of 803 are 11,73. Prime factorization of 803 in exponential form is:

803 = 111×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 803 and 804.

LCM(803,804) = 22×31×111×671×731
LCM(803,804) = 645612

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1, 11, 73, 803

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

Least Common Multiple of 803 and 804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 803 and 804, than apply into the LCM equation.

GCF(803,804) = 1
LCM(803,804) = ( 803 × 804) / 1
LCM(803,804) = 645612 / 1
LCM(803,804) = 645612

Properties of LCM 803 and 804

(i) The LCM of 804 and 803 is associative

LCM of 803 and 804 = LCM of 804 and 803

Related Least Common Multiples of 803

Related Least Common Multiples of 804

Frequently Asked Questions on LCM of 803 and 804

1. What is the LCM of 803 and 804?

Answer: LCM of 803 and 804 is 645612.

2. What are the Factors of 803?

Answer: Factors of 803 are 1, 11, 73, 803. There are 4 integers that are factors of 803. The greatest factor of 803 is 803.

3. 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.

4. How to Find the LCM of 803 and 804?

Answer:

Least Common Multiple of 803 and 804 = 645612

Step 1: Find the prime factorization of 803

803 = 11 x 73

Step 2: Find the prime factorization of 804

804 = 2 x 2 x 3 x 67

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

LCM = 645612 = 2 x 2 x 3 x 11 x 67 x 73

Step 4: Therefore, the least common multiple of 803 and 804 is 645612.