Least Common Multiple of 801 and 803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 801 and 803 the smallest integer that is 643203 that is divisible by both numbers.

Least Common Multiple (LCM) of 801 and 803 is 643203.

LCM(801,803) = 643203

LCM of 801 and 803

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

LCM of:
and

Least Common Multiple of 801 and 803

LCM of 801 and 803 is 643203

Least common multiple can be found by multiplying the highest exponent prime factors of 801 and 803. First we will calculate the prime factors of 801 and 803.

Prime Factorization of 801


3 801
3 267
89 89
1

Prime factors of 801 are 3,89. Prime factorization of 801 in exponential form is:

801 = 32×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 801 and 803.

LCM(801,803) = 32×111×731×891
LCM(801,803) = 643203

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Factors of 803

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

1, 11, 73, 803

Least Common Multiple of 801 and 803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 801 and 803, than apply into the LCM equation.

GCF(801,803) = 1
LCM(801,803) = ( 801 × 803) / 1
LCM(801,803) = 643203 / 1
LCM(801,803) = 643203

Properties of LCM 801 and 803

(i) The LCM of 803 and 801 is associative

LCM of 801 and 803 = LCM of 803 and 801

Related Least Common Multiples of 801

Related Least Common Multiples of 803

Frequently Asked Questions on LCM of 801 and 803

1. What is the LCM of 801 and 803?

Answer: LCM of 801 and 803 is 643203.

2. What are the Factors of 801?

Answer: Factors of 801 are 1, 3, 9, 89, 267, 801. There are 6 integers that are factors of 801. The greatest factor of 801 is 801.

3. 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.

4. How to Find the LCM of 801 and 803?

Answer:

Least Common Multiple of 801 and 803 = 643203

Step 1: Find the prime factorization of 801

801 = 3 x 3 x 89

Step 2: Find the prime factorization of 803

803 = 11 x 73

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

LCM = 643203 = 3 x 3 x 11 x 73 x 89

Step 4: Therefore, the least common multiple of 801 and 803 is 643203.