Least Common Multiple of 798 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 798 and 804 the smallest integer that is 106932 that is divisible by both numbers.

Least Common Multiple (LCM) of 798 and 804 is 106932.

LCM(798,804) = 106932

LCM of 798 and 804

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

LCM of:
and

Least Common Multiple of 798 and 804

LCM of 798 and 804 is 106932

Least common multiple can be found by multiplying the highest exponent prime factors of 798 and 804. First we will calculate the prime factors of 798 and 804.

Prime Factorization of 798


2 798
3 399
7 133
19 19
1

Prime factors of 798 are 2, 3, 7,19. Prime factorization of 798 in exponential form is:

798 = 21×31×71×191

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 798 and 804.

LCM(798,804) = 22×31×71×191×671
LCM(798,804) = 106932

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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 798 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 798 and 804, than apply into the LCM equation.

GCF(798,804) = 6
LCM(798,804) = ( 798 × 804) / 6
LCM(798,804) = 641592 / 6
LCM(798,804) = 106932

Properties of LCM 798 and 804

(i) The LCM of 804 and 798 is associative

LCM of 798 and 804 = LCM of 804 and 798

Related Least Common Multiples of 798

Related Least Common Multiples of 804

Frequently Asked Questions on LCM of 798 and 804

1. What is the LCM of 798 and 804?

Answer: LCM of 798 and 804 is 106932.

2. What are the Factors of 798?

Answer: Factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798. There are 16 integers that are factors of 798. The greatest factor of 798 is 798.

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 798 and 804?

Answer:

Least Common Multiple of 798 and 804 = 106932

Step 1: Find the prime factorization of 798

798 = 2 x 3 x 7 x 19

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 = 106932 = 2 x 2 x 3 x 7 x 19 x 67

Step 4: Therefore, the least common multiple of 798 and 804 is 106932.