Least Common Multiple of 799 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 799 and 804 the smallest integer that is 642396 that is divisible by both numbers.

Least Common Multiple (LCM) of 799 and 804 is 642396.

LCM(799,804) = 642396

LCM of 799 and 804

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

LCM of:
and

Least Common Multiple of 799 and 804

LCM of 799 and 804 is 642396

Least common multiple can be found by multiplying the highest exponent prime factors of 799 and 804. First we will calculate the prime factors of 799 and 804.

Prime Factorization of 799


17 799
47 47
1

Prime factors of 799 are 17,47. Prime factorization of 799 in exponential form is:

799 = 171×471

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 799 and 804.

LCM(799,804) = 22×31×171×471×671
LCM(799,804) = 642396

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1, 17, 47, 799

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 799 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 799 and 804, than apply into the LCM equation.

GCF(799,804) = 1
LCM(799,804) = ( 799 × 804) / 1
LCM(799,804) = 642396 / 1
LCM(799,804) = 642396

Properties of LCM 799 and 804

(i) The LCM of 804 and 799 is associative

LCM of 799 and 804 = LCM of 804 and 799

Related Least Common Multiples of 799

Related Least Common Multiples of 804

Frequently Asked Questions on LCM of 799 and 804

1. What is the LCM of 799 and 804?

Answer: LCM of 799 and 804 is 642396.

2. What are the Factors of 799?

Answer: Factors of 799 are 1, 17, 47, 799. There are 4 integers that are factors of 799. The greatest factor of 799 is 799.

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 799 and 804?

Answer:

Least Common Multiple of 799 and 804 = 642396

Step 1: Find the prime factorization of 799

799 = 17 x 47

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 = 642396 = 2 x 2 x 3 x 17 x 47 x 67

Step 4: Therefore, the least common multiple of 799 and 804 is 642396.