Least Common Multiple of 796 and 797

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 797 the smallest integer that is 634412 that is divisible by both numbers.

Least Common Multiple (LCM) of 796 and 797 is 634412.

LCM(796,797) = 634412

LCM of 796 and 797

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

LCM of:
and

Least Common Multiple of 796 and 797

LCM of 796 and 797 is 634412

Least common multiple can be found by multiplying the highest exponent prime factors of 796 and 797. First we will calculate the prime factors of 796 and 797.

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 797


797 797
1

Prime factors of 797 are 797. Prime factorization of 797 in exponential form is:

797 = 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 796 and 797.

LCM(796,797) = 22×1991×7971
LCM(796,797) = 634412

Factors of 796

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

1, 2, 4, 199, 398, 796

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1, 797

Least Common Multiple of 796 and 797 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 797, than apply into the LCM equation.

GCF(796,797) = 1
LCM(796,797) = ( 796 × 797) / 1
LCM(796,797) = 634412 / 1
LCM(796,797) = 634412

Properties of LCM 796 and 797

(i) The LCM of 797 and 796 is associative

LCM of 796 and 797 = LCM of 797 and 796

Related Least Common Multiples of 796

Related Least Common Multiples of 797

Frequently Asked Questions on LCM of 796 and 797

1. What is the LCM of 796 and 797?

Answer: LCM of 796 and 797 is 634412.

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 797?

Answer: Factors of 797 are 1, 797. There are 2 integers that are factors of 797. The greatest factor of 797 is 797.

4. How to Find the LCM of 796 and 797?

Answer:

Least Common Multiple of 796 and 797 = 634412

Step 1: Find the prime factorization of 796

796 = 2 x 2 x 199

Step 2: Find the prime factorization of 797

797 = 797

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

LCM = 634412 = 2 x 2 x 199 x 797

Step 4: Therefore, the least common multiple of 796 and 797 is 634412.