Least Common Multiple of 796 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 796 and 800 the smallest integer that is 159200 that is divisible by both numbers.

Least Common Multiple (LCM) of 796 and 800 is 159200.

LCM(796,800) = 159200

LCM of 796 and 800

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

LCM of:
and

Least Common Multiple of 796 and 800

LCM of 796 and 800 is 159200

Least common multiple can be found by multiplying the highest exponent prime factors of 796 and 800. First we will calculate the prime factors of 796 and 800.

Prime Factorization of 796


2 796
2 398
199 199
1

Prime factors of 796 are 2,199. Prime factorization of 796 in exponential form is:

796 = 22×1991

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 796 and 800.

LCM(796,800) = 25×52×1991
LCM(796,800) = 159200

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

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 796 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 796 and 800, than apply into the LCM equation.

GCF(796,800) = 4
LCM(796,800) = ( 796 × 800) / 4
LCM(796,800) = 636800 / 4
LCM(796,800) = 159200

Properties of LCM 796 and 800

(i) The LCM of 800 and 796 is associative

LCM of 796 and 800 = LCM of 800 and 796

Related Least Common Multiples of 796

Related Least Common Multiples of 800

Frequently Asked Questions on LCM of 796 and 800

1. What is the LCM of 796 and 800?

Answer: LCM of 796 and 800 is 159200.

2. What are the Factors of 796?

Answer: Factors of 796 are 1, 2, 4, 199, 398, 796. There are 6 integers that are factors of 796. The greatest factor of 796 is 796.

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 796 and 800?

Answer:

Least Common Multiple of 796 and 800 = 159200

Step 1: Find the prime factorization of 796

796 = 2 x 2 x 199

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 = 159200 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 199

Step 4: Therefore, the least common multiple of 796 and 800 is 159200.