Least Common Multiple of 815 and 820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 815 and 820 the smallest integer that is 133660 that is divisible by both numbers.

Least Common Multiple (LCM) of 815 and 820 is 133660.

LCM(815,820) = 133660

LCM of 815 and 820

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

LCM of:
and

Least Common Multiple of 815 and 820

LCM of 815 and 820 is 133660

Least common multiple can be found by multiplying the highest exponent prime factors of 815 and 820. First we will calculate the prime factors of 815 and 820.

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

Prime Factorization of 820


2 820
2 410
5 205
41 41
1

Prime factors of 820 are 2, 5,41. Prime factorization of 820 in exponential form is:

820 = 22×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 815 and 820.

LCM(815,820) = 22×51×411×1631
LCM(815,820) = 133660

Factors of 815

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

1, 5, 163, 815

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Least Common Multiple of 815 and 820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 815 and 820, than apply into the LCM equation.

GCF(815,820) = 5
LCM(815,820) = ( 815 × 820) / 5
LCM(815,820) = 668300 / 5
LCM(815,820) = 133660

Properties of LCM 815 and 820

(i) The LCM of 820 and 815 is associative

LCM of 815 and 820 = LCM of 820 and 815

Related Least Common Multiples of 815

Related Least Common Multiples of 820

Frequently Asked Questions on LCM of 815 and 820

1. What is the LCM of 815 and 820?

Answer: LCM of 815 and 820 is 133660.

2. 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.

3. What are the Factors of 820?

Answer: Factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820. There are 12 integers that are factors of 820. The greatest factor of 820 is 820.

4. How to Find the LCM of 815 and 820?

Answer:

Least Common Multiple of 815 and 820 = 133660

Step 1: Find the prime factorization of 815

815 = 5 x 163

Step 2: Find the prime factorization of 820

820 = 2 x 2 x 5 x 41

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

LCM = 133660 = 2 x 2 x 5 x 41 x 163

Step 4: Therefore, the least common multiple of 815 and 820 is 133660.