Least Common Multiple of 800 and 802

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 802 the smallest integer that is 320800 that is divisible by both numbers.

Least Common Multiple (LCM) of 800 and 802 is 320800.

LCM(800,802) = 320800

LCM of 800 and 802

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

LCM of:
and

Least Common Multiple of 800 and 802

LCM of 800 and 802 is 320800

Least common multiple can be found by multiplying the highest exponent prime factors of 800 and 802. First we will calculate the prime factors of 800 and 802.

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 802


2 802
401 401
1

Prime factors of 802 are 2,401. Prime factorization of 802 in exponential form is:

802 = 21×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 800 and 802.

LCM(800,802) = 25×52×4011
LCM(800,802) = 320800

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 802

List of positive integer factors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Least Common Multiple of 800 and 802 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 802, than apply into the LCM equation.

GCF(800,802) = 2
LCM(800,802) = ( 800 × 802) / 2
LCM(800,802) = 641600 / 2
LCM(800,802) = 320800

Properties of LCM 800 and 802

(i) The LCM of 802 and 800 is associative

LCM of 800 and 802 = LCM of 802 and 800

Related Least Common Multiples of 800

Related Least Common Multiples of 802

Frequently Asked Questions on LCM of 800 and 802

1. What is the LCM of 800 and 802?

Answer: LCM of 800 and 802 is 320800.

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 802?

Answer: Factors of 802 are 1, 2, 401, 802. There are 4 integers that are factors of 802. The greatest factor of 802 is 802.

4. How to Find the LCM of 800 and 802?

Answer:

Least Common Multiple of 800 and 802 = 320800

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 802

802 = 2 x 401

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

LCM = 320800 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 401

Step 4: Therefore, the least common multiple of 800 and 802 is 320800.