Least Common Multiple of 797 and 805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 797 and 805 the smallest integer that is 641585 that is divisible by both numbers.

Least Common Multiple (LCM) of 797 and 805 is 641585.

LCM(797,805) = 641585

LCM of 797 and 805

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

LCM of:
and

Least Common Multiple of 797 and 805

LCM of 797 and 805 is 641585

Least common multiple can be found by multiplying the highest exponent prime factors of 797 and 805. First we will calculate the prime factors of 797 and 805.

Prime Factorization of 797


797 797
1

Prime factors of 797 are 797. Prime factorization of 797 in exponential form is:

797 = 7971

Prime Factorization of 805


5 805
7 161
23 23
1

Prime factors of 805 are 5, 7,23. Prime factorization of 805 in exponential form is:

805 = 51×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 797 and 805.

LCM(797,805) = 51×71×231×7971
LCM(797,805) = 641585

Factors of 797

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

1, 797

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Least Common Multiple of 797 and 805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 797 and 805, than apply into the LCM equation.

GCF(797,805) = 1
LCM(797,805) = ( 797 × 805) / 1
LCM(797,805) = 641585 / 1
LCM(797,805) = 641585

Properties of LCM 797 and 805

(i) The LCM of 805 and 797 is associative

LCM of 797 and 805 = LCM of 805 and 797

Related Least Common Multiples of 797

Related Least Common Multiples of 805

Frequently Asked Questions on LCM of 797 and 805

1. What is the LCM of 797 and 805?

Answer: LCM of 797 and 805 is 641585.

2. 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.

3. What are the Factors of 805?

Answer: Factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805. There are 8 integers that are factors of 805. The greatest factor of 805 is 805.

4. How to Find the LCM of 797 and 805?

Answer:

Least Common Multiple of 797 and 805 = 641585

Step 1: Find the prime factorization of 797

797 = 797

Step 2: Find the prime factorization of 805

805 = 5 x 7 x 23

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

LCM = 641585 = 5 x 7 x 23 x 797

Step 4: Therefore, the least common multiple of 797 and 805 is 641585.