Least Common Multiple of 801 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 801 and 804 the smallest integer that is 214668 that is divisible by both numbers.

Least Common Multiple (LCM) of 801 and 804 is 214668.

LCM(801,804) = 214668

LCM of 801 and 804

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

LCM of:
and

Least Common Multiple of 801 and 804

LCM of 801 and 804 is 214668

Least common multiple can be found by multiplying the highest exponent prime factors of 801 and 804. First we will calculate the prime factors of 801 and 804.

Prime Factorization of 801


3 801
3 267
89 89
1

Prime factors of 801 are 3,89. Prime factorization of 801 in exponential form is:

801 = 32×891

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 801 and 804.

LCM(801,804) = 22×32×671×891
LCM(801,804) = 214668

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

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 801 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 801 and 804, than apply into the LCM equation.

GCF(801,804) = 3
LCM(801,804) = ( 801 × 804) / 3
LCM(801,804) = 644004 / 3
LCM(801,804) = 214668

Properties of LCM 801 and 804

(i) The LCM of 804 and 801 is associative

LCM of 801 and 804 = LCM of 804 and 801

Related Least Common Multiples of 801

Related Least Common Multiples of 804

Frequently Asked Questions on LCM of 801 and 804

1. What is the LCM of 801 and 804?

Answer: LCM of 801 and 804 is 214668.

2. What are the Factors of 801?

Answer: Factors of 801 are 1, 3, 9, 89, 267, 801. There are 6 integers that are factors of 801. The greatest factor of 801 is 801.

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 801 and 804?

Answer:

Least Common Multiple of 801 and 804 = 214668

Step 1: Find the prime factorization of 801

801 = 3 x 3 x 89

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 = 214668 = 2 x 2 x 3 x 3 x 67 x 89

Step 4: Therefore, the least common multiple of 801 and 804 is 214668.