Least Common Multiple of 794 and 795

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 795 the smallest integer that is 631230 that is divisible by both numbers.

Least Common Multiple (LCM) of 794 and 795 is 631230.

LCM(794,795) = 631230

LCM of 794 and 795

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

LCM of:
and

Least Common Multiple of 794 and 795

LCM of 794 and 795 is 631230

Least common multiple can be found by multiplying the highest exponent prime factors of 794 and 795. First we will calculate the prime factors of 794 and 795.

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 795


3 795
5 265
53 53
1

Prime factors of 795 are 3, 5,53. Prime factorization of 795 in exponential form is:

795 = 31×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 794 and 795.

LCM(794,795) = 21×31×51×531×3971
LCM(794,795) = 631230

Factors of 794

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

1, 2, 397, 794

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Least Common Multiple of 794 and 795 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 795, than apply into the LCM equation.

GCF(794,795) = 1
LCM(794,795) = ( 794 × 795) / 1
LCM(794,795) = 631230 / 1
LCM(794,795) = 631230

Properties of LCM 794 and 795

(i) The LCM of 795 and 794 is associative

LCM of 794 and 795 = LCM of 795 and 794

Related Least Common Multiples of 794

Related Least Common Multiples of 795

Frequently Asked Questions on LCM of 794 and 795

1. What is the LCM of 794 and 795?

Answer: LCM of 794 and 795 is 631230.

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 795?

Answer: Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795. There are 8 integers that are factors of 795. The greatest factor of 795 is 795.

4. How to Find the LCM of 794 and 795?

Answer:

Least Common Multiple of 794 and 795 = 631230

Step 1: Find the prime factorization of 794

794 = 2 x 397

Step 2: Find the prime factorization of 795

795 = 3 x 5 x 53

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

LCM = 631230 = 2 x 3 x 5 x 53 x 397

Step 4: Therefore, the least common multiple of 794 and 795 is 631230.