Least Common Multiple of 793 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 793 and 797 the smallest integer that is 632021 that is divisible by both numbers.

Least Common Multiple (LCM) of 793 and 797 is 632021.

LCM(793,797) = 632021

LCM of 793 and 797

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

LCM of:
and

Least Common Multiple of 793 and 797

LCM of 793 and 797 is 632021

Least common multiple can be found by multiplying the highest exponent prime factors of 793 and 797. First we will calculate the prime factors of 793 and 797.

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 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 793 and 797.

LCM(793,797) = 131×611×7971
LCM(793,797) = 632021

Factors of 793

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

1, 13, 61, 793

Factors of 797

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

1, 797

Least Common Multiple of 793 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 793 and 797, than apply into the LCM equation.

GCF(793,797) = 1
LCM(793,797) = ( 793 × 797) / 1
LCM(793,797) = 632021 / 1
LCM(793,797) = 632021

Properties of LCM 793 and 797

(i) The LCM of 797 and 793 is associative

LCM of 793 and 797 = LCM of 797 and 793

Related Least Common Multiples of 793

Related Least Common Multiples of 797

Frequently Asked Questions on LCM of 793 and 797

1. What is the LCM of 793 and 797?

Answer: LCM of 793 and 797 is 632021.

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 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 793 and 797?

Answer:

Least Common Multiple of 793 and 797 = 632021

Step 1: Find the prime factorization of 793

793 = 13 x 61

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 = 632021 = 13 x 61 x 797

Step 4: Therefore, the least common multiple of 793 and 797 is 632021.