Least Common Multiple of 800 and 801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 800 and 801 the smallest integer that is 640800 that is divisible by both numbers.

Least Common Multiple (LCM) of 800 and 801 is 640800.

LCM(800,801) = 640800

LCM of 800 and 801

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

LCM of:
and

Least Common Multiple of 800 and 801

LCM of 800 and 801 is 640800

Least common multiple can be found by multiplying the highest exponent prime factors of 800 and 801. First we will calculate the prime factors of 800 and 801.

Prime Factorization of 800


2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 800 are 2,5. Prime factorization of 800 in exponential form is:

800 = 25×52

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

Now multiplying the highest exponent prime factors to calculate the LCM of 800 and 801.

LCM(800,801) = 25×32×52×891
LCM(800,801) = 640800

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Factors of 801

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

1, 3, 9, 89, 267, 801

Least Common Multiple of 800 and 801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 800 and 801, than apply into the LCM equation.

GCF(800,801) = 1
LCM(800,801) = ( 800 × 801) / 1
LCM(800,801) = 640800 / 1
LCM(800,801) = 640800

Properties of LCM 800 and 801

(i) The LCM of 801 and 800 is associative

LCM of 800 and 801 = LCM of 801 and 800

Related Least Common Multiples of 800

Related Least Common Multiples of 801

Frequently Asked Questions on LCM of 800 and 801

1. What is the LCM of 800 and 801?

Answer: LCM of 800 and 801 is 640800.

2. What are the Factors of 800?

Answer: Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800. There are 18 integers that are factors of 800. The greatest factor of 800 is 800.

3. 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.

4. How to Find the LCM of 800 and 801?

Answer:

Least Common Multiple of 800 and 801 = 640800

Step 1: Find the prime factorization of 800

800 = 2 x 2 x 2 x 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 801

801 = 3 x 3 x 89

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

LCM = 640800 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 89

Step 4: Therefore, the least common multiple of 800 and 801 is 640800.