Least Common Multiple of 810 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 810 and 815 the smallest integer that is 132030 that is divisible by both numbers.

Least Common Multiple (LCM) of 810 and 815 is 132030.

LCM(810,815) = 132030

LCM of 810 and 815

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

LCM of:
and

Least Common Multiple of 810 and 815

LCM of 810 and 815 is 132030

Least common multiple can be found by multiplying the highest exponent prime factors of 810 and 815. First we will calculate the prime factors of 810 and 815.

Prime Factorization of 810


2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 810 are 2, 3,5. Prime factorization of 810 in exponential form is:

810 = 21×34×51

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 810 and 815.

LCM(810,815) = 21×34×51×1631
LCM(810,815) = 132030

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Factors of 815

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

1, 5, 163, 815

Least Common Multiple of 810 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 810 and 815, than apply into the LCM equation.

GCF(810,815) = 5
LCM(810,815) = ( 810 × 815) / 5
LCM(810,815) = 660150 / 5
LCM(810,815) = 132030

Properties of LCM 810 and 815

(i) The LCM of 815 and 810 is associative

LCM of 810 and 815 = LCM of 815 and 810

Related Least Common Multiples of 810

Related Least Common Multiples of 815

Frequently Asked Questions on LCM of 810 and 815

1. What is the LCM of 810 and 815?

Answer: LCM of 810 and 815 is 132030.

2. What are the Factors of 810?

Answer: Factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810. There are 20 integers that are factors of 810. The greatest factor of 810 is 810.

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 810 and 815?

Answer:

Least Common Multiple of 810 and 815 = 132030

Step 1: Find the prime factorization of 810

810 = 2 x 3 x 3 x 3 x 3 x 5

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 = 132030 = 2 x 3 x 3 x 3 x 3 x 5 x 163

Step 4: Therefore, the least common multiple of 810 and 815 is 132030.