Least Common Multiple of 802 and 808

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 808 the smallest integer that is 324008 that is divisible by both numbers.

Least Common Multiple (LCM) of 802 and 808 is 324008.

LCM(802,808) = 324008

LCM of 802 and 808

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

LCM of:
and

Least Common Multiple of 802 and 808

LCM of 802 and 808 is 324008

Least common multiple can be found by multiplying the highest exponent prime factors of 802 and 808. First we will calculate the prime factors of 802 and 808.

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 808


2 808
2 404
2 202
101 101
1

Prime factors of 808 are 2,101. Prime factorization of 808 in exponential form is:

808 = 23×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 802 and 808.

LCM(802,808) = 23×1011×4011
LCM(802,808) = 324008

Factors of 802

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

1, 2, 401, 802

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Least Common Multiple of 802 and 808 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 808, than apply into the LCM equation.

GCF(802,808) = 2
LCM(802,808) = ( 802 × 808) / 2
LCM(802,808) = 648016 / 2
LCM(802,808) = 324008

Properties of LCM 802 and 808

(i) The LCM of 808 and 802 is associative

LCM of 802 and 808 = LCM of 808 and 802

Related Least Common Multiples of 802

Related Least Common Multiples of 808

Frequently Asked Questions on LCM of 802 and 808

1. What is the LCM of 802 and 808?

Answer: LCM of 802 and 808 is 324008.

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 808?

Answer: Factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808. There are 8 integers that are factors of 808. The greatest factor of 808 is 808.

4. How to Find the LCM of 802 and 808?

Answer:

Least Common Multiple of 802 and 808 = 324008

Step 1: Find the prime factorization of 802

802 = 2 x 401

Step 2: Find the prime factorization of 808

808 = 2 x 2 x 2 x 101

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

LCM = 324008 = 2 x 2 x 2 x 101 x 401

Step 4: Therefore, the least common multiple of 802 and 808 is 324008.