Least Common Multiple of 797 and 804

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 804 the smallest integer that is 640788 that is divisible by both numbers.

Least Common Multiple (LCM) of 797 and 804 is 640788.

LCM(797,804) = 640788

LCM of 797 and 804

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

LCM of:
and

Least Common Multiple of 797 and 804

LCM of 797 and 804 is 640788

Least common multiple can be found by multiplying the highest exponent prime factors of 797 and 804. First we will calculate the prime factors of 797 and 804.

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 804


2 804
2 402
3 201
67 67
1

Prime factors of 804 are 2, 3,67. Prime factorization of 804 in exponential form is:

804 = 22×31×671

Now multiplying the highest exponent prime factors to calculate the LCM of 797 and 804.

LCM(797,804) = 22×31×671×7971
LCM(797,804) = 640788

Factors of 797

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

1, 797

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Least Common Multiple of 797 and 804 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 804, than apply into the LCM equation.

GCF(797,804) = 1
LCM(797,804) = ( 797 × 804) / 1
LCM(797,804) = 640788 / 1
LCM(797,804) = 640788

Properties of LCM 797 and 804

(i) The LCM of 804 and 797 is associative

LCM of 797 and 804 = LCM of 804 and 797

Related Least Common Multiples of 797

Related Least Common Multiples of 804

Frequently Asked Questions on LCM of 797 and 804

1. What is the LCM of 797 and 804?

Answer: LCM of 797 and 804 is 640788.

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 804?

Answer: Factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804. There are 12 integers that are factors of 804. The greatest factor of 804 is 804.

4. How to Find the LCM of 797 and 804?

Answer:

Least Common Multiple of 797 and 804 = 640788

Step 1: Find the prime factorization of 797

797 = 797

Step 2: Find the prime factorization of 804

804 = 2 x 2 x 3 x 67

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

LCM = 640788 = 2 x 2 x 3 x 67 x 797

Step 4: Therefore, the least common multiple of 797 and 804 is 640788.