Least Common Multiple of 802 and 806

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 806 the smallest integer that is 323206 that is divisible by both numbers.

Least Common Multiple (LCM) of 802 and 806 is 323206.

LCM(802,806) = 323206

LCM of 802 and 806

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

LCM of:
and

Least Common Multiple of 802 and 806

LCM of 802 and 806 is 323206

Least common multiple can be found by multiplying the highest exponent prime factors of 802 and 806. First we will calculate the prime factors of 802 and 806.

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 806


2 806
13 403
31 31
1

Prime factors of 806 are 2, 13,31. Prime factorization of 806 in exponential form is:

806 = 21×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 802 and 806.

LCM(802,806) = 21×131×311×4011
LCM(802,806) = 323206

Factors of 802

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

1, 2, 401, 802

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Least Common Multiple of 802 and 806 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 806, than apply into the LCM equation.

GCF(802,806) = 2
LCM(802,806) = ( 802 × 806) / 2
LCM(802,806) = 646412 / 2
LCM(802,806) = 323206

Properties of LCM 802 and 806

(i) The LCM of 806 and 802 is associative

LCM of 802 and 806 = LCM of 806 and 802

Related Least Common Multiples of 802

Related Least Common Multiples of 806

Frequently Asked Questions on LCM of 802 and 806

1. What is the LCM of 802 and 806?

Answer: LCM of 802 and 806 is 323206.

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 806?

Answer: Factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806. There are 8 integers that are factors of 806. The greatest factor of 806 is 806.

4. How to Find the LCM of 802 and 806?

Answer:

Least Common Multiple of 802 and 806 = 323206

Step 1: Find the prime factorization of 802

802 = 2 x 401

Step 2: Find the prime factorization of 806

806 = 2 x 13 x 31

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

LCM = 323206 = 2 x 13 x 31 x 401

Step 4: Therefore, the least common multiple of 802 and 806 is 323206.