Least Common Multiple of 799 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 799 and 800 the smallest integer that is 639200 that is divisible by both numbers.

Least Common Multiple (LCM) of 799 and 800 is 639200.

LCM(799,800) = 639200

LCM of 799 and 800

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

LCM of:
and

Least Common Multiple of 799 and 800

LCM of 799 and 800 is 639200

Least common multiple can be found by multiplying the highest exponent prime factors of 799 and 800. First we will calculate the prime factors of 799 and 800.

Prime Factorization of 799


17 799
47 47
1

Prime factors of 799 are 17,47. Prime factorization of 799 in exponential form is:

799 = 171×471

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 799 and 800.

LCM(799,800) = 25×52×171×471
LCM(799,800) = 639200

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1, 17, 47, 799

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 799 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 799 and 800, than apply into the LCM equation.

GCF(799,800) = 1
LCM(799,800) = ( 799 × 800) / 1
LCM(799,800) = 639200 / 1
LCM(799,800) = 639200

Properties of LCM 799 and 800

(i) The LCM of 800 and 799 is associative

LCM of 799 and 800 = LCM of 800 and 799

Related Least Common Multiples of 799

Related Least Common Multiples of 800

Frequently Asked Questions on LCM of 799 and 800

1. What is the LCM of 799 and 800?

Answer: LCM of 799 and 800 is 639200.

2. What are the Factors of 799?

Answer: Factors of 799 are 1, 17, 47, 799. There are 4 integers that are factors of 799. The greatest factor of 799 is 799.

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 799 and 800?

Answer:

Least Common Multiple of 799 and 800 = 639200

Step 1: Find the prime factorization of 799

799 = 17 x 47

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 = 639200 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 17 x 47

Step 4: Therefore, the least common multiple of 799 and 800 is 639200.