Least Common Multiple of 796 and 798

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 798 the smallest integer that is 317604 that is divisible by both numbers.

Least Common Multiple (LCM) of 796 and 798 is 317604.

LCM(796,798) = 317604

LCM of 796 and 798

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

LCM of:
and

Least Common Multiple of 796 and 798

LCM of 796 and 798 is 317604

Least common multiple can be found by multiplying the highest exponent prime factors of 796 and 798. First we will calculate the prime factors of 796 and 798.

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 798


2 798
3 399
7 133
19 19
1

Prime factors of 798 are 2, 3, 7,19. Prime factorization of 798 in exponential form is:

798 = 21×31×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 796 and 798.

LCM(796,798) = 22×31×71×191×1991
LCM(796,798) = 317604

Factors of 796

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

1, 2, 4, 199, 398, 796

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Least Common Multiple of 796 and 798 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 798, than apply into the LCM equation.

GCF(796,798) = 2
LCM(796,798) = ( 796 × 798) / 2
LCM(796,798) = 635208 / 2
LCM(796,798) = 317604

Properties of LCM 796 and 798

(i) The LCM of 798 and 796 is associative

LCM of 796 and 798 = LCM of 798 and 796

Related Least Common Multiples of 796

Related Least Common Multiples of 798

Frequently Asked Questions on LCM of 796 and 798

1. What is the LCM of 796 and 798?

Answer: LCM of 796 and 798 is 317604.

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 798?

Answer: Factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798. There are 16 integers that are factors of 798. The greatest factor of 798 is 798.

4. How to Find the LCM of 796 and 798?

Answer:

Least Common Multiple of 796 and 798 = 317604

Step 1: Find the prime factorization of 796

796 = 2 x 2 x 199

Step 2: Find the prime factorization of 798

798 = 2 x 3 x 7 x 19

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

LCM = 317604 = 2 x 2 x 3 x 7 x 19 x 199

Step 4: Therefore, the least common multiple of 796 and 798 is 317604.