Least Common Multiple of 793 and 800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 793 and 800 the smallest integer that is 634400 that is divisible by both numbers.

Least Common Multiple (LCM) of 793 and 800 is 634400.

LCM(793,800) = 634400

LCM of 793 and 800

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

LCM of:
and

Least Common Multiple of 793 and 800

LCM of 793 and 800 is 634400

Least common multiple can be found by multiplying the highest exponent prime factors of 793 and 800. First we will calculate the prime factors of 793 and 800.

Prime Factorization of 793


13 793
61 61
1

Prime factors of 793 are 13,61. Prime factorization of 793 in exponential form is:

793 = 131×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 793 and 800.

LCM(793,800) = 25×52×131×611
LCM(793,800) = 634400

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1, 13, 61, 793

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

Least Common Multiple of 793 and 800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 793 and 800, than apply into the LCM equation.

GCF(793,800) = 1
LCM(793,800) = ( 793 × 800) / 1
LCM(793,800) = 634400 / 1
LCM(793,800) = 634400

Properties of LCM 793 and 800

(i) The LCM of 800 and 793 is associative

LCM of 793 and 800 = LCM of 800 and 793

Related Least Common Multiples of 793

Related Least Common Multiples of 800

Frequently Asked Questions on LCM of 793 and 800

1. What is the LCM of 793 and 800?

Answer: LCM of 793 and 800 is 634400.

2. What are the Factors of 793?

Answer: Factors of 793 are 1, 13, 61, 793. There are 4 integers that are factors of 793. The greatest factor of 793 is 793.

3. 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.

4. How to Find the LCM of 793 and 800?

Answer:

Least Common Multiple of 793 and 800 = 634400

Step 1: Find the prime factorization of 793

793 = 13 x 61

Step 2: Find the prime factorization of 800

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

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

LCM = 634400 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 13 x 61

Step 4: Therefore, the least common multiple of 793 and 800 is 634400.