Least Common Multiple of 801 and 806

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 806 the smallest integer that is 645606 that is divisible by both numbers.

Least Common Multiple (LCM) of 801 and 806 is 645606.

LCM(801,806) = 645606

LCM of 801 and 806

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

LCM of:
and

Least Common Multiple of 801 and 806

LCM of 801 and 806 is 645606

Least common multiple can be found by multiplying the highest exponent prime factors of 801 and 806. First we will calculate the prime factors of 801 and 806.

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 806


2 806
13 403
31 31
1

Prime factors of 806 are 2, 13,31. Prime factorization of 806 in exponential form is:

806 = 21×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 801 and 806.

LCM(801,806) = 21×32×131×311×891
LCM(801,806) = 645606

Factors of 801

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

1, 3, 9, 89, 267, 801

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Least Common Multiple of 801 and 806 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 806, than apply into the LCM equation.

GCF(801,806) = 1
LCM(801,806) = ( 801 × 806) / 1
LCM(801,806) = 645606 / 1
LCM(801,806) = 645606

Properties of LCM 801 and 806

(i) The LCM of 806 and 801 is associative

LCM of 801 and 806 = LCM of 806 and 801

Related Least Common Multiples of 801

Related Least Common Multiples of 806

Frequently Asked Questions on LCM of 801 and 806

1. What is the LCM of 801 and 806?

Answer: LCM of 801 and 806 is 645606.

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 806?

Answer: Factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806. There are 8 integers that are factors of 806. The greatest factor of 806 is 806.

4. How to Find the LCM of 801 and 806?

Answer:

Least Common Multiple of 801 and 806 = 645606

Step 1: Find the prime factorization of 801

801 = 3 x 3 x 89

Step 2: Find the prime factorization of 806

806 = 2 x 13 x 31

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

LCM = 645606 = 2 x 3 x 3 x 13 x 31 x 89

Step 4: Therefore, the least common multiple of 801 and 806 is 645606.