Least Common Multiple of 794 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 794 and 800 the smallest integer that is 317600 that is divisible by both numbers.

Least Common Multiple (LCM) of 794 and 800 is 317600.

LCM(794,800) = 317600

LCM of 794 and 800

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

LCM of:
and

Least Common Multiple of 794 and 800

LCM of 794 and 800 is 317600

Least common multiple can be found by multiplying the highest exponent prime factors of 794 and 800. First we will calculate the prime factors of 794 and 800.

Prime Factorization of 794


2 794
397 397
1

Prime factors of 794 are 2,397. Prime factorization of 794 in exponential form is:

794 = 21×3971

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 794 and 800.

LCM(794,800) = 25×52×3971
LCM(794,800) = 317600

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1, 2, 397, 794

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 794 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 794 and 800, than apply into the LCM equation.

GCF(794,800) = 2
LCM(794,800) = ( 794 × 800) / 2
LCM(794,800) = 635200 / 2
LCM(794,800) = 317600

Properties of LCM 794 and 800

(i) The LCM of 800 and 794 is associative

LCM of 794 and 800 = LCM of 800 and 794

Related Least Common Multiples of 794

Related Least Common Multiples of 800

Frequently Asked Questions on LCM of 794 and 800

1. What is the LCM of 794 and 800?

Answer: LCM of 794 and 800 is 317600.

2. What are the Factors of 794?

Answer: Factors of 794 are 1, 2, 397, 794. There are 4 integers that are factors of 794. The greatest factor of 794 is 794.

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 794 and 800?

Answer:

Least Common Multiple of 794 and 800 = 317600

Step 1: Find the prime factorization of 794

794 = 2 x 397

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 = 317600 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 397

Step 4: Therefore, the least common multiple of 794 and 800 is 317600.