Least Common Multiple of 808 and 809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 808 and 809 the smallest integer that is 653672 that is divisible by both numbers.

Least Common Multiple (LCM) of 808 and 809 is 653672.

LCM(808,809) = 653672

LCM of 808 and 809

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

LCM of:
and

Least Common Multiple of 808 and 809

LCM of 808 and 809 is 653672

Least common multiple can be found by multiplying the highest exponent prime factors of 808 and 809. First we will calculate the prime factors of 808 and 809.

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

Prime Factorization of 809


809 809
1

Prime factors of 809 are 809. Prime factorization of 809 in exponential form is:

809 = 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 808 and 809.

LCM(808,809) = 23×1011×8091
LCM(808,809) = 653672

Factors of 808

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

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

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1, 809

Least Common Multiple of 808 and 809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 808 and 809, than apply into the LCM equation.

GCF(808,809) = 1
LCM(808,809) = ( 808 × 809) / 1
LCM(808,809) = 653672 / 1
LCM(808,809) = 653672

Properties of LCM 808 and 809

(i) The LCM of 809 and 808 is associative

LCM of 808 and 809 = LCM of 809 and 808

Related Least Common Multiples of 808

Related Least Common Multiples of 809

Frequently Asked Questions on LCM of 808 and 809

1. What is the LCM of 808 and 809?

Answer: LCM of 808 and 809 is 653672.

2. 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.

3. What are the Factors of 809?

Answer: Factors of 809 are 1, 809. There are 2 integers that are factors of 809. The greatest factor of 809 is 809.

4. How to Find the LCM of 808 and 809?

Answer:

Least Common Multiple of 808 and 809 = 653672

Step 1: Find the prime factorization of 808

808 = 2 x 2 x 2 x 101

Step 2: Find the prime factorization of 809

809 = 809

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

LCM = 653672 = 2 x 2 x 2 x 101 x 809

Step 4: Therefore, the least common multiple of 808 and 809 is 653672.