Least Common Multiple of 791 and 796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 791 and 796 the smallest integer that is 629636 that is divisible by both numbers.

Least Common Multiple (LCM) of 791 and 796 is 629636.

LCM(791,796) = 629636

LCM of 791 and 796

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

LCM of:
and

Least Common Multiple of 791 and 796

LCM of 791 and 796 is 629636

Least common multiple can be found by multiplying the highest exponent prime factors of 791 and 796. First we will calculate the prime factors of 791 and 796.

Prime Factorization of 791


7 791
113 113
1

Prime factors of 791 are 7,113. Prime factorization of 791 in exponential form is:

791 = 71×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 791 and 796.

LCM(791,796) = 22×71×1131×1991
LCM(791,796) = 629636

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Factors of 796

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

1, 2, 4, 199, 398, 796

Least Common Multiple of 791 and 796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 791 and 796, than apply into the LCM equation.

GCF(791,796) = 1
LCM(791,796) = ( 791 × 796) / 1
LCM(791,796) = 629636 / 1
LCM(791,796) = 629636

Properties of LCM 791 and 796

(i) The LCM of 796 and 791 is associative

LCM of 791 and 796 = LCM of 796 and 791

Related Least Common Multiples of 791

Related Least Common Multiples of 796

Frequently Asked Questions on LCM of 791 and 796

1. What is the LCM of 791 and 796?

Answer: LCM of 791 and 796 is 629636.

2. What are the Factors of 791?

Answer: Factors of 791 are 1, 7, 113, 791. There are 4 integers that are factors of 791. The greatest factor of 791 is 791.

3. 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.

4. How to Find the LCM of 791 and 796?

Answer:

Least Common Multiple of 791 and 796 = 629636

Step 1: Find the prime factorization of 791

791 = 7 x 113

Step 2: Find the prime factorization of 796

796 = 2 x 2 x 199

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

LCM = 629636 = 2 x 2 x 7 x 113 x 199

Step 4: Therefore, the least common multiple of 791 and 796 is 629636.