Least Common Multiple of 794 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 794 and 796 the smallest integer that is 316012 that is divisible by both numbers.

Least Common Multiple (LCM) of 794 and 796 is 316012.

LCM(794,796) = 316012

LCM of 794 and 796

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

LCM of:
and

Least Common Multiple of 794 and 796

LCM of 794 and 796 is 316012

Least common multiple can be found by multiplying the highest exponent prime factors of 794 and 796. First we will calculate the prime factors of 794 and 796.

Prime Factorization of 794


2 794
397 397
1

Prime factors of 794 are 2,397. Prime factorization of 794 in exponential form is:

794 = 21×3971

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 794 and 796.

LCM(794,796) = 22×1991×3971
LCM(794,796) = 316012

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1, 2, 397, 794

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 794 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 794 and 796, than apply into the LCM equation.

GCF(794,796) = 2
LCM(794,796) = ( 794 × 796) / 2
LCM(794,796) = 632024 / 2
LCM(794,796) = 316012

Properties of LCM 794 and 796

(i) The LCM of 796 and 794 is associative

LCM of 794 and 796 = LCM of 796 and 794

Related Least Common Multiples of 794

Related Least Common Multiples of 796

Frequently Asked Questions on LCM of 794 and 796

1. What is the LCM of 794 and 796?

Answer: LCM of 794 and 796 is 316012.

2. What are the Factors of 794?

Answer: Factors of 794 are 1, 2, 397, 794. There are 4 integers that are factors of 794. The greatest factor of 794 is 794.

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 794 and 796?

Answer:

Least Common Multiple of 794 and 796 = 316012

Step 1: Find the prime factorization of 794

794 = 2 x 397

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 = 316012 = 2 x 2 x 199 x 397

Step 4: Therefore, the least common multiple of 794 and 796 is 316012.