Least Common Multiple of 795 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 795 and 800 the smallest integer that is 127200 that is divisible by both numbers.

Least Common Multiple (LCM) of 795 and 800 is 127200.

LCM(795,800) = 127200

LCM of 795 and 800

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

LCM of:
and

Least Common Multiple of 795 and 800

LCM of 795 and 800 is 127200

Least common multiple can be found by multiplying the highest exponent prime factors of 795 and 800. First we will calculate the prime factors of 795 and 800.

Prime Factorization of 795


3 795
5 265
53 53
1

Prime factors of 795 are 3, 5,53. Prime factorization of 795 in exponential form is:

795 = 31×51×531

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 795 and 800.

LCM(795,800) = 25×31×52×531
LCM(795,800) = 127200

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

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 795 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 795 and 800, than apply into the LCM equation.

GCF(795,800) = 5
LCM(795,800) = ( 795 × 800) / 5
LCM(795,800) = 636000 / 5
LCM(795,800) = 127200

Properties of LCM 795 and 800

(i) The LCM of 800 and 795 is associative

LCM of 795 and 800 = LCM of 800 and 795

Related Least Common Multiples of 795

Related Least Common Multiples of 800

Frequently Asked Questions on LCM of 795 and 800

1. What is the LCM of 795 and 800?

Answer: LCM of 795 and 800 is 127200.

2. What are the Factors of 795?

Answer: Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795. There are 8 integers that are factors of 795. The greatest factor of 795 is 795.

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 795 and 800?

Answer:

Least Common Multiple of 795 and 800 = 127200

Step 1: Find the prime factorization of 795

795 = 3 x 5 x 53

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 = 127200 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 53

Step 4: Therefore, the least common multiple of 795 and 800 is 127200.