Least Common Multiple of 809 and 815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 809 and 815 the smallest integer that is 659335 that is divisible by both numbers.

Least Common Multiple (LCM) of 809 and 815 is 659335.

LCM(809,815) = 659335

LCM of 809 and 815

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

LCM of:
and

Least Common Multiple of 809 and 815

LCM of 809 and 815 is 659335

Least common multiple can be found by multiplying the highest exponent prime factors of 809 and 815. First we will calculate the prime factors of 809 and 815.

Prime Factorization of 809


809 809
1

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

809 = 8091

Prime Factorization of 815


5 815
163 163
1

Prime factors of 815 are 5,163. Prime factorization of 815 in exponential form is:

815 = 51×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 809 and 815.

LCM(809,815) = 51×1631×8091
LCM(809,815) = 659335

Factors of 809

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

1, 809

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Least Common Multiple of 809 and 815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 809 and 815, than apply into the LCM equation.

GCF(809,815) = 1
LCM(809,815) = ( 809 × 815) / 1
LCM(809,815) = 659335 / 1
LCM(809,815) = 659335

Properties of LCM 809 and 815

(i) The LCM of 815 and 809 is associative

LCM of 809 and 815 = LCM of 815 and 809

Related Least Common Multiples of 809

Related Least Common Multiples of 815

Frequently Asked Questions on LCM of 809 and 815

1. What is the LCM of 809 and 815?

Answer: LCM of 809 and 815 is 659335.

2. 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.

3. What are the Factors of 815?

Answer: Factors of 815 are 1, 5, 163, 815. There are 4 integers that are factors of 815. The greatest factor of 815 is 815.

4. How to Find the LCM of 809 and 815?

Answer:

Least Common Multiple of 809 and 815 = 659335

Step 1: Find the prime factorization of 809

809 = 809

Step 2: Find the prime factorization of 815

815 = 5 x 163

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

LCM = 659335 = 5 x 163 x 809

Step 4: Therefore, the least common multiple of 809 and 815 is 659335.