Least Common Multiple of 796 and 799

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 799 the smallest integer that is 636004 that is divisible by both numbers.

Least Common Multiple (LCM) of 796 and 799 is 636004.

LCM(796,799) = 636004

LCM of 796 and 799

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

LCM of:
and

Least Common Multiple of 796 and 799

LCM of 796 and 799 is 636004

Least common multiple can be found by multiplying the highest exponent prime factors of 796 and 799. First we will calculate the prime factors of 796 and 799.

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 799


17 799
47 47
1

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

799 = 171×471

Now multiplying the highest exponent prime factors to calculate the LCM of 796 and 799.

LCM(796,799) = 22×171×471×1991
LCM(796,799) = 636004

Factors of 796

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

1, 2, 4, 199, 398, 796

Factors of 799

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

1, 17, 47, 799

Least Common Multiple of 796 and 799 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 799, than apply into the LCM equation.

GCF(796,799) = 1
LCM(796,799) = ( 796 × 799) / 1
LCM(796,799) = 636004 / 1
LCM(796,799) = 636004

Properties of LCM 796 and 799

(i) The LCM of 799 and 796 is associative

LCM of 796 and 799 = LCM of 799 and 796

Related Least Common Multiples of 796

Related Least Common Multiples of 799

Frequently Asked Questions on LCM of 796 and 799

1. What is the LCM of 796 and 799?

Answer: LCM of 796 and 799 is 636004.

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 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.

4. How to Find the LCM of 796 and 799?

Answer:

Least Common Multiple of 796 and 799 = 636004

Step 1: Find the prime factorization of 796

796 = 2 x 2 x 199

Step 2: Find the prime factorization of 799

799 = 17 x 47

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

LCM = 636004 = 2 x 2 x 17 x 47 x 199

Step 4: Therefore, the least common multiple of 796 and 799 is 636004.