Least Common Multiple of 795 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 795 and 797 the smallest integer that is 633615 that is divisible by both numbers.

Least Common Multiple (LCM) of 795 and 797 is 633615.

LCM(795,797) = 633615

LCM of 795 and 797

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

LCM of:
and

Least Common Multiple of 795 and 797

LCM of 795 and 797 is 633615

Least common multiple can be found by multiplying the highest exponent prime factors of 795 and 797. First we will calculate the prime factors of 795 and 797.

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

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 795 and 797.

LCM(795,797) = 31×51×531×7971
LCM(795,797) = 633615

Factors of 795

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

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

Factors of 797

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

1, 797

Least Common Multiple of 795 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 795 and 797, than apply into the LCM equation.

GCF(795,797) = 1
LCM(795,797) = ( 795 × 797) / 1
LCM(795,797) = 633615 / 1
LCM(795,797) = 633615

Properties of LCM 795 and 797

(i) The LCM of 797 and 795 is associative

LCM of 795 and 797 = LCM of 797 and 795

Related Least Common Multiples of 795

Related Least Common Multiples of 797

Frequently Asked Questions on LCM of 795 and 797

1. What is the LCM of 795 and 797?

Answer: LCM of 795 and 797 is 633615.

2. 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.

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 795 and 797?

Answer:

Least Common Multiple of 795 and 797 = 633615

Step 1: Find the prime factorization of 795

795 = 3 x 5 x 53

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 = 633615 = 3 x 5 x 53 x 797

Step 4: Therefore, the least common multiple of 795 and 797 is 633615.