Least Common Multiple of 803 and 808

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 808 the smallest integer that is 648824 that is divisible by both numbers.

Least Common Multiple (LCM) of 803 and 808 is 648824.

LCM(803,808) = 648824

LCM of 803 and 808

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

LCM of:
and

Least Common Multiple of 803 and 808

LCM of 803 and 808 is 648824

Least common multiple can be found by multiplying the highest exponent prime factors of 803 and 808. First we will calculate the prime factors of 803 and 808.

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 808


2 808
2 404
2 202
101 101
1

Prime factors of 808 are 2,101. Prime factorization of 808 in exponential form is:

808 = 23×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 803 and 808.

LCM(803,808) = 23×111×731×1011
LCM(803,808) = 648824

Factors of 803

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

1, 11, 73, 803

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Least Common Multiple of 803 and 808 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 808, than apply into the LCM equation.

GCF(803,808) = 1
LCM(803,808) = ( 803 × 808) / 1
LCM(803,808) = 648824 / 1
LCM(803,808) = 648824

Properties of LCM 803 and 808

(i) The LCM of 808 and 803 is associative

LCM of 803 and 808 = LCM of 808 and 803

Related Least Common Multiples of 803

Related Least Common Multiples of 808

Frequently Asked Questions on LCM of 803 and 808

1. What is the LCM of 803 and 808?

Answer: LCM of 803 and 808 is 648824.

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 808?

Answer: Factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808. There are 8 integers that are factors of 808. The greatest factor of 808 is 808.

4. How to Find the LCM of 803 and 808?

Answer:

Least Common Multiple of 803 and 808 = 648824

Step 1: Find the prime factorization of 803

803 = 11 x 73

Step 2: Find the prime factorization of 808

808 = 2 x 2 x 2 x 101

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

LCM = 648824 = 2 x 2 x 2 x 11 x 73 x 101

Step 4: Therefore, the least common multiple of 803 and 808 is 648824.