Least Common Multiple of 803 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 803 and 811 the smallest integer that is 651233 that is divisible by both numbers.

Least Common Multiple (LCM) of 803 and 811 is 651233.

LCM(803,811) = 651233

LCM of 803 and 811

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

LCM of:
and

Least Common Multiple of 803 and 811

LCM of 803 and 811 is 651233

Least common multiple can be found by multiplying the highest exponent prime factors of 803 and 811. First we will calculate the prime factors of 803 and 811.

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 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 803 and 811.

LCM(803,811) = 111×731×8111
LCM(803,811) = 651233

Factors of 803

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

1, 11, 73, 803

Factors of 811

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

1, 811

Least Common Multiple of 803 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 803 and 811, than apply into the LCM equation.

GCF(803,811) = 1
LCM(803,811) = ( 803 × 811) / 1
LCM(803,811) = 651233 / 1
LCM(803,811) = 651233

Properties of LCM 803 and 811

(i) The LCM of 811 and 803 is associative

LCM of 803 and 811 = LCM of 811 and 803

Related Least Common Multiples of 803

Related Least Common Multiples of 811

Frequently Asked Questions on LCM of 803 and 811

1. What is the LCM of 803 and 811?

Answer: LCM of 803 and 811 is 651233.

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 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 803 and 811?

Answer:

Least Common Multiple of 803 and 811 = 651233

Step 1: Find the prime factorization of 803

803 = 11 x 73

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 = 651233 = 11 x 73 x 811

Step 4: Therefore, the least common multiple of 803 and 811 is 651233.