Least Common Multiple of 802 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 802 and 804 the smallest integer that is 322404 that is divisible by both numbers.

Least Common Multiple (LCM) of 802 and 804 is 322404.

LCM(802,804) = 322404

LCM of 802 and 804

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

LCM of:
and

Least Common Multiple of 802 and 804

LCM of 802 and 804 is 322404

Least common multiple can be found by multiplying the highest exponent prime factors of 802 and 804. First we will calculate the prime factors of 802 and 804.

Prime Factorization of 802


2 802
401 401
1

Prime factors of 802 are 2,401. Prime factorization of 802 in exponential form is:

802 = 21×4011

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 802 and 804.

LCM(802,804) = 22×31×671×4011
LCM(802,804) = 322404

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1, 2, 401, 802

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 802 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 802 and 804, than apply into the LCM equation.

GCF(802,804) = 2
LCM(802,804) = ( 802 × 804) / 2
LCM(802,804) = 644808 / 2
LCM(802,804) = 322404

Properties of LCM 802 and 804

(i) The LCM of 804 and 802 is associative

LCM of 802 and 804 = LCM of 804 and 802

Related Least Common Multiples of 802

Related Least Common Multiples of 804

Frequently Asked Questions on LCM of 802 and 804

1. What is the LCM of 802 and 804?

Answer: LCM of 802 and 804 is 322404.

2. What are the Factors of 802?

Answer: Factors of 802 are 1, 2, 401, 802. There are 4 integers that are factors of 802. The greatest factor of 802 is 802.

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 802 and 804?

Answer:

Least Common Multiple of 802 and 804 = 322404

Step 1: Find the prime factorization of 802

802 = 2 x 401

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 = 322404 = 2 x 2 x 3 x 67 x 401

Step 4: Therefore, the least common multiple of 802 and 804 is 322404.