Least Common Multiple of 808 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 808 and 815 the smallest integer that is 658520 that is divisible by both numbers.

Least Common Multiple (LCM) of 808 and 815 is 658520.

LCM(808,815) = 658520

LCM of 808 and 815

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

LCM of:
and

Least Common Multiple of 808 and 815

LCM of 808 and 815 is 658520

Least common multiple can be found by multiplying the highest exponent prime factors of 808 and 815. First we will calculate the prime factors of 808 and 815.

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 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 808 and 815.

LCM(808,815) = 23×51×1011×1631
LCM(808,815) = 658520

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 815

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

1, 5, 163, 815

Least Common Multiple of 808 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 808 and 815, than apply into the LCM equation.

GCF(808,815) = 1
LCM(808,815) = ( 808 × 815) / 1
LCM(808,815) = 658520 / 1
LCM(808,815) = 658520

Properties of LCM 808 and 815

(i) The LCM of 815 and 808 is associative

LCM of 808 and 815 = LCM of 815 and 808

Related Least Common Multiples of 808

Related Least Common Multiples of 815

Frequently Asked Questions on LCM of 808 and 815

1. What is the LCM of 808 and 815?

Answer: LCM of 808 and 815 is 658520.

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 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 808 and 815?

Answer:

Least Common Multiple of 808 and 815 = 658520

Step 1: Find the prime factorization of 808

808 = 2 x 2 x 2 x 101

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 = 658520 = 2 x 2 x 2 x 5 x 101 x 163

Step 4: Therefore, the least common multiple of 808 and 815 is 658520.