Least Common Multiple of 793 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 793 and 795 the smallest integer that is 630435 that is divisible by both numbers.

Least Common Multiple (LCM) of 793 and 795 is 630435.

LCM(793,795) = 630435

LCM of 793 and 795

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

LCM of:
and

Least Common Multiple of 793 and 795

LCM of 793 and 795 is 630435

Least common multiple can be found by multiplying the highest exponent prime factors of 793 and 795. First we will calculate the prime factors of 793 and 795.

Prime Factorization of 793


13 793
61 61
1

Prime factors of 793 are 13,61. Prime factorization of 793 in exponential form is:

793 = 131×611

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 793 and 795.

LCM(793,795) = 31×51×131×531×611
LCM(793,795) = 630435

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1, 13, 61, 793

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 793 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 793 and 795, than apply into the LCM equation.

GCF(793,795) = 1
LCM(793,795) = ( 793 × 795) / 1
LCM(793,795) = 630435 / 1
LCM(793,795) = 630435

Properties of LCM 793 and 795

(i) The LCM of 795 and 793 is associative

LCM of 793 and 795 = LCM of 795 and 793

Related Least Common Multiples of 793

Related Least Common Multiples of 795

Frequently Asked Questions on LCM of 793 and 795

1. What is the LCM of 793 and 795?

Answer: LCM of 793 and 795 is 630435.

2. What are the Factors of 793?

Answer: Factors of 793 are 1, 13, 61, 793. There are 4 integers that are factors of 793. The greatest factor of 793 is 793.

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 793 and 795?

Answer:

Least Common Multiple of 793 and 795 = 630435

Step 1: Find the prime factorization of 793

793 = 13 x 61

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 = 630435 = 3 x 5 x 13 x 53 x 61

Step 4: Therefore, the least common multiple of 793 and 795 is 630435.